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Finding the Third Proportional to 140,145.75 and 217,417.50

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Solution

The third proportional to 140,145.75 and 217,417.50 is: 337,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.75 : 217,417.50 = 217,417.50 : x
  2. Step 2: Convert to fraction form
    140,145.75/217,417.50 = 217,417.50/x
  3. Step 3: Cross multiply
    140,145.75x = 217,417.50 × 217,417.50
  4. Step 4: Simplify right side
    140,145.75x = 47,270,369,306.25
  5. Step 5: Solve for x
    x = 47,270,369,306.25/140,145.75
  6. Step 6: Final answer
    x = 337,294.35

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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.