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Finding the Third Proportional to 111,960,432 and 232,859,088

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Solution

The third proportional to 111,960,432 and 232,859,088 is: 484,308,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,960,432 : 232,859,088 = 232,859,088 : x
  2. Step 2: Convert to fraction form
    111,960,432/232,859,088 = 232,859,088/x
  3. Step 3: Cross multiply
    111,960,432x = 232,859,088 × 232,859,088
  4. Step 4: Simplify right side
    111,960,432x = 54,223,354,864,191,744
  5. Step 5: Solve for x
    x = 54,223,354,864,191,744/111,960,432
  6. Step 6: Final answer
    x = 484,308,196.17

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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.