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Finding the Third Proportional to 61,681.50 and 128,212.50

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Solution

The third proportional to 61,681.50 and 128,212.50 is: 266,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,681.50 : 128,212.50 = 128,212.50 : x
  2. Step 2: Convert to fraction form
    61,681.50/128,212.50 = 128,212.50/x
  3. Step 3: Cross multiply
    61,681.50x = 128,212.50 × 128,212.50
  4. Step 4: Simplify right side
    61,681.50x = 16,438,445,156.25
  5. Step 5: Solve for x
    x = 16,438,445,156.25/61,681.50
  6. Step 6: Final answer
    x = 266,505.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.