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Finding the Third Proportional to 399,856.50 and 614,425.50

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Solution

The third proportional to 399,856.50 and 614,425.50 is: 944,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,856.50 : 614,425.50 = 614,425.50 : x
  2. Step 2: Convert to fraction form
    399,856.50/614,425.50 = 614,425.50/x
  3. Step 3: Cross multiply
    399,856.50x = 614,425.50 × 614,425.50
  4. Step 4: Simplify right side
    399,856.50x = 377,518,695,050.25
  5. Step 5: Solve for x
    x = 377,518,695,050.25/399,856.50
  6. Step 6: Final answer
    x = 944,135.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.