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Finding the Third Proportional to 427,972 and 572,550

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Solution

The third proportional to 427,972 and 572,550 is: 765,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,972 : 572,550 = 572,550 : x
  2. Step 2: Convert to fraction form
    427,972/572,550 = 572,550/x
  3. Step 3: Cross multiply
    427,972x = 572,550 × 572,550
  4. Step 4: Simplify right side
    427,972x = 327,813,502,500
  5. Step 5: Solve for x
    x = 327,813,502,500/427,972
  6. Step 6: Final answer
    x = 765,969.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.