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Finding the Third Proportional to 646,564 and 1,403,720

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Solution

The third proportional to 646,564 and 1,403,720 is: 3,047,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,564 : 1,403,720 = 1,403,720 : x
  2. Step 2: Convert to fraction form
    646,564/1,403,720 = 1,403,720/x
  3. Step 3: Cross multiply
    646,564x = 1,403,720 × 1,403,720
  4. Step 4: Simplify right side
    646,564x = 1,970,429,838,400
  5. Step 5: Solve for x
    x = 1,970,429,838,400/646,564
  6. Step 6: Final answer
    x = 3,047,540.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.