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Finding the Third Proportional to 616,900.50 and 840,422.25

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Solution

The third proportional to 616,900.50 and 840,422.25 is: 1,144,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,900.50 : 840,422.25 = 840,422.25 : x
  2. Step 2: Convert to fraction form
    616,900.50/840,422.25 = 840,422.25/x
  3. Step 3: Cross multiply
    616,900.50x = 840,422.25 × 840,422.25
  4. Step 4: Simplify right side
    616,900.50x = 706,309,558,295.06
  5. Step 5: Solve for x
    x = 706,309,558,295.06/616,900.50
  6. Step 6: Final answer
    x = 1,144,932.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.