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Finding the Third Proportional to 372,429 and 577,719

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Solution

The third proportional to 372,429 and 577,719 is: 896,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,429 : 577,719 = 577,719 : x
  2. Step 2: Convert to fraction form
    372,429/577,719 = 577,719/x
  3. Step 3: Cross multiply
    372,429x = 577,719 × 577,719
  4. Step 4: Simplify right side
    372,429x = 333,759,242,961
  5. Step 5: Solve for x
    x = 333,759,242,961/372,429
  6. Step 6: Final answer
    x = 896,168.78

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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.