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Finding the Third Proportional to 292,432 and 637,712

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Solution

The third proportional to 292,432 and 637,712 is: 1,390,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,432 : 637,712 = 637,712 : x
  2. Step 2: Convert to fraction form
    292,432/637,712 = 637,712/x
  3. Step 3: Cross multiply
    292,432x = 637,712 × 637,712
  4. Step 4: Simplify right side
    292,432x = 406,676,594,944
  5. Step 5: Solve for x
    x = 406,676,594,944/292,432
  6. Step 6: Final answer
    x = 1,390,670.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.