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Finding the Third Proportional to 135,969.61 and 288,146.95

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Solution

The third proportional to 135,969.61 and 288,146.95 is: 610,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969.61 : 288,146.95 = 288,146.95 : x
  2. Step 2: Convert to fraction form
    135,969.61/288,146.95 = 288,146.95/x
  3. Step 3: Cross multiply
    135,969.61x = 288,146.95 × 288,146.95
  4. Step 4: Simplify right side
    135,969.61x = 83,028,666,595.22
  5. Step 5: Solve for x
    x = 83,028,666,595.22/135,969.61
  6. Step 6: Final answer
    x = 610,641.36

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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.