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Finding the Third Proportional to 292,446 and 640,746

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Solution

The third proportional to 292,446 and 640,746 is: 1,403,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,446 : 640,746 = 640,746 : x
  2. Step 2: Convert to fraction form
    292,446/640,746 = 640,746/x
  3. Step 3: Cross multiply
    292,446x = 640,746 × 640,746
  4. Step 4: Simplify right side
    292,446x = 410,555,436,516
  5. Step 5: Solve for x
    x = 410,555,436,516/292,446
  6. Step 6: Final answer
    x = 1,403,867.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.