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Finding the Third Proportional to 106,378,540 and 232,935,068

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Solution

The third proportional to 106,378,540 and 232,935,068 is: 510,053,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378,540 : 232,935,068 = 232,935,068 : x
  2. Step 2: Convert to fraction form
    106,378,540/232,935,068 = 232,935,068/x
  3. Step 3: Cross multiply
    106,378,540x = 232,935,068 × 232,935,068
  4. Step 4: Simplify right side
    106,378,540x = 54,258,745,904,164,624
  5. Step 5: Solve for x
    x = 54,258,745,904,164,624/106,378,540
  6. Step 6: Final answer
    x = 510,053,492.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.