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Finding the Third Proportional to 346,289,514,720 and 744,694,410,612

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Solution

The third proportional to 346,289,514,720 and 744,694,410,612 is: 1,601,462,769,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,289,514,720 : 744,694,410,612 = 744,694,410,612 : x
  2. Step 2: Convert to fraction form
    346,289,514,720/744,694,410,612 = 744,694,410,612/x
  3. Step 3: Cross multiply
    346,289,514,720x = 744,694,410,612 × 744,694,410,612
  4. Step 4: Simplify right side
    346,289,514,720x = 554,569,765,196,754,050,875,392
  5. Step 5: Solve for x
    x = 554,569,765,196,754,050,875,392/346,289,514,720
  6. Step 6: Final answer
    x = 1,601,462,769,224.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.