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Finding the Third Proportional to 960,120 and 1,442,731.50

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Solution

The third proportional to 960,120 and 1,442,731.50 is: 2,167,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,120 : 1,442,731.50 = 1,442,731.50 : x
  2. Step 2: Convert to fraction form
    960,120/1,442,731.50 = 1,442,731.50/x
  3. Step 3: Cross multiply
    960,120x = 1,442,731.50 × 1,442,731.50
  4. Step 4: Simplify right side
    960,120x = 2,081,474,181,092.25
  5. Step 5: Solve for x
    x = 2,081,474,181,092.25/960,120
  6. Step 6: Final answer
    x = 2,167,931.28

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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.