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Finding the Third Proportional to 346,434 and 744,438

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Solution

The third proportional to 346,434 and 744,438 is: 1,599,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,434 : 744,438 = 744,438 : x
  2. Step 2: Convert to fraction form
    346,434/744,438 = 744,438/x
  3. Step 3: Cross multiply
    346,434x = 744,438 × 744,438
  4. Step 4: Simplify right side
    346,434x = 554,187,935,844
  5. Step 5: Solve for x
    x = 554,187,935,844/346,434
  6. Step 6: Final answer
    x = 1,599,692.69

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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.