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Finding the Third Proportional to 137,707.50 and 291,817.50

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Solution

The third proportional to 137,707.50 and 291,817.50 is: 618,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,707.50 : 291,817.50 = 291,817.50 : x
  2. Step 2: Convert to fraction form
    137,707.50/291,817.50 = 291,817.50/x
  3. Step 3: Cross multiply
    137,707.50x = 291,817.50 × 291,817.50
  4. Step 4: Simplify right side
    137,707.50x = 85,157,453,306.25
  5. Step 5: Solve for x
    x = 85,157,453,306.25/137,707.50
  6. Step 6: Final answer
    x = 618,393.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.