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Finding the Third Proportional to 292,478 and 637,840

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Solution

The third proportional to 292,478 and 637,840 is: 1,391,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,478 : 637,840 = 637,840 : x
  2. Step 2: Convert to fraction form
    292,478/637,840 = 637,840/x
  3. Step 3: Cross multiply
    292,478x = 637,840 × 637,840
  4. Step 4: Simplify right side
    292,478x = 406,839,865,600
  5. Step 5: Solve for x
    x = 406,839,865,600/292,478
  6. Step 6: Final answer
    x = 1,391,010.15

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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.