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Finding the Third Proportional to 643,714,500 and 1,390,336,612

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Solution

The third proportional to 643,714,500 and 1,390,336,612 is: 3,002,939,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714,500 : 1,390,336,612 = 1,390,336,612 : x
  2. Step 2: Convert to fraction form
    643,714,500/1,390,336,612 = 1,390,336,612/x
  3. Step 3: Cross multiply
    643,714,500x = 1,390,336,612 × 1,390,336,612
  4. Step 4: Simplify right side
    643,714,500x = 1,933,035,894,667,638,528
  5. Step 5: Solve for x
    x = 1,933,035,894,667,638,528/643,714,500
  6. Step 6: Final answer
    x = 3,002,939,804.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.