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Finding the Third Proportional to 463,480 and 717,272

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Solution

The third proportional to 463,480 and 717,272 is: 1,110,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,480 : 717,272 = 717,272 : x
  2. Step 2: Convert to fraction form
    463,480/717,272 = 717,272/x
  3. Step 3: Cross multiply
    463,480x = 717,272 × 717,272
  4. Step 4: Simplify right side
    463,480x = 514,479,121,984
  5. Step 5: Solve for x
    x = 514,479,121,984/463,480
  6. Step 6: Final answer
    x = 1,110,035.22

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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.