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Finding the Third Proportional to 292,366 and 638,840

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Solution

The third proportional to 292,366 and 638,840 is: 1,395,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,366 : 638,840 = 638,840 : x
  2. Step 2: Convert to fraction form
    292,366/638,840 = 638,840/x
  3. Step 3: Cross multiply
    292,366x = 638,840 × 638,840
  4. Step 4: Simplify right side
    292,366x = 408,116,545,600
  5. Step 5: Solve for x
    x = 408,116,545,600/292,366
  6. Step 6: Final answer
    x = 1,395,909.74

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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.