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Finding the Third Proportional to 372,983 and 572,357

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Solution

The third proportional to 372,983 and 572,357 is: 878,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,983 : 572,357 = 572,357 : x
  2. Step 2: Convert to fraction form
    372,983/572,357 = 572,357/x
  3. Step 3: Cross multiply
    372,983x = 572,357 × 572,357
  4. Step 4: Simplify right side
    372,983x = 327,592,535,449
  5. Step 5: Solve for x
    x = 327,592,535,449/372,983
  6. Step 6: Final answer
    x = 878,304.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.