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Finding the Third Proportional to 454,672 and 661,272

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Solution

The third proportional to 454,672 and 661,272 is: 961,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,672 : 661,272 = 661,272 : x
  2. Step 2: Convert to fraction form
    454,672/661,272 = 661,272/x
  3. Step 3: Cross multiply
    454,672x = 661,272 × 661,272
  4. Step 4: Simplify right side
    454,672x = 437,280,657,984
  5. Step 5: Solve for x
    x = 437,280,657,984/454,672
  6. Step 6: Final answer
    x = 961,749.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.