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Finding the Third Proportional to 690,135.19 and 947,551.92

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Solution

The third proportional to 690,135.19 and 947,551.92 is: 1,300,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,135.19 : 947,551.92 = 947,551.92 : x
  2. Step 2: Convert to fraction form
    690,135.19/947,551.92 = 947,551.92/x
  3. Step 3: Cross multiply
    690,135.19x = 947,551.92 × 947,551.92
  4. Step 4: Simplify right side
    690,135.19x = 897,854,644,649.01
  5. Step 5: Solve for x
    x = 897,854,644,649.01/690,135.19
  6. Step 6: Final answer
    x = 1,300,983.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.