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Finding the Third Proportional to 61,353.49 and 128,265.40

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Solution

The third proportional to 61,353.49 and 128,265.40 is: 268,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,353.49 : 128,265.40 = 128,265.40 : x
  2. Step 2: Convert to fraction form
    61,353.49/128,265.40 = 128,265.40/x
  3. Step 3: Cross multiply
    61,353.49x = 128,265.40 × 128,265.40
  4. Step 4: Simplify right side
    61,353.49x = 16,452,012,436.33
  5. Step 5: Solve for x
    x = 16,452,012,436.33/61,353.49
  6. Step 6: Final answer
    x = 268,151.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.