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Finding the Third Proportional to 560,616.19 and 869,719.78

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Solution

The third proportional to 560,616.19 and 869,719.78 is: 1,349,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,616.19 : 869,719.78 = 869,719.78 : x
  2. Step 2: Convert to fraction form
    560,616.19/869,719.78 = 869,719.78/x
  3. Step 3: Cross multiply
    560,616.19x = 869,719.78 × 869,719.78
  4. Step 4: Simplify right side
    560,616.19x = 756,412,497,897.55
  5. Step 5: Solve for x
    x = 756,412,497,897.55/560,616.19
  6. Step 6: Final answer
    x = 1,349,251.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.