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Finding the Third Proportional to 66,157.50 and 145,437

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Solution

The third proportional to 66,157.50 and 145,437 is: 319,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,157.50 : 145,437 = 145,437 : x
  2. Step 2: Convert to fraction form
    66,157.50/145,437 = 145,437/x
  3. Step 3: Cross multiply
    66,157.50x = 145,437 × 145,437
  4. Step 4: Simplify right side
    66,157.50x = 21,151,920,969
  5. Step 5: Solve for x
    x = 21,151,920,969/66,157.50
  6. Step 6: Final answer
    x = 319,720.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.