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Finding the Third Proportional to 291,331 and 457,780

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Solution

The third proportional to 291,331 and 457,780 is: 719,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,331 : 457,780 = 457,780 : x
  2. Step 2: Convert to fraction form
    291,331/457,780 = 457,780/x
  3. Step 3: Cross multiply
    291,331x = 457,780 × 457,780
  4. Step 4: Simplify right side
    291,331x = 209,562,528,400
  5. Step 5: Solve for x
    x = 209,562,528,400/291,331
  6. Step 6: Final answer
    x = 719,327.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.