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Finding the Third Proportional to 387,434 and 581,128

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Solution

The third proportional to 387,434 and 581,128 is: 871,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,434 : 581,128 = 581,128 : x
  2. Step 2: Convert to fraction form
    387,434/581,128 = 581,128/x
  3. Step 3: Cross multiply
    387,434x = 581,128 × 581,128
  4. Step 4: Simplify right side
    387,434x = 337,709,752,384
  5. Step 5: Solve for x
    x = 337,709,752,384/387,434
  6. Step 6: Final answer
    x = 871,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.