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Finding the Third Proportional to 478,418 and 740,301

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Solution

The third proportional to 478,418 and 740,301 is: 1,145,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,418 : 740,301 = 740,301 : x
  2. Step 2: Convert to fraction form
    478,418/740,301 = 740,301/x
  3. Step 3: Cross multiply
    478,418x = 740,301 × 740,301
  4. Step 4: Simplify right side
    478,418x = 548,045,570,601
  5. Step 5: Solve for x
    x = 548,045,570,601/478,418
  6. Step 6: Final answer
    x = 1,145,537.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.