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Finding the Third Proportional to 560,649.38 and 840,800.25

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Solution

The third proportional to 560,649.38 and 840,800.25 is: 1,260,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,649.38 : 840,800.25 = 840,800.25 : x
  2. Step 2: Convert to fraction form
    560,649.38/840,800.25 = 840,800.25/x
  3. Step 3: Cross multiply
    560,649.38x = 840,800.25 × 840,800.25
  4. Step 4: Simplify right side
    560,649.38x = 706,945,060,400.06
  5. Step 5: Solve for x
    x = 706,945,060,400.06/560,649.38
  6. Step 6: Final answer
    x = 1,260,939.71

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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.