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Finding the Third Proportional to 97,510.50 and 145,872.56

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Solution

The third proportional to 97,510.50 and 145,872.56 is: 218,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510.50 : 145,872.56 = 145,872.56 : x
  2. Step 2: Convert to fraction form
    97,510.50/145,872.56 = 145,872.56/x
  3. Step 3: Cross multiply
    97,510.50x = 145,872.56 × 145,872.56
  4. Step 4: Simplify right side
    97,510.50x = 21,278,804,490.32
  5. Step 5: Solve for x
    x = 21,278,804,490.32/97,510.50
  6. Step 6: Final answer
    x = 218,220.65

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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.