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Finding the Third Proportional to 136,461.38 and 296,116.88

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Solution

The third proportional to 136,461.38 and 296,116.88 is: 642,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.38 : 296,116.88 = 296,116.88 : x
  2. Step 2: Convert to fraction form
    136,461.38/296,116.88 = 296,116.88/x
  3. Step 3: Cross multiply
    136,461.38x = 296,116.88 × 296,116.88
  4. Step 4: Simplify right side
    136,461.38x = 87,685,203,659.77
  5. Step 5: Solve for x
    x = 87,685,203,659.77/136,461.38
  6. Step 6: Final answer
    x = 642,564.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.