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Finding the Third Proportional to 81,743,196 and 136,233,210

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Solution

The third proportional to 81,743,196 and 136,233,210 is: 227,046,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743,196 : 136,233,210 = 136,233,210 : x
  2. Step 2: Convert to fraction form
    81,743,196/136,233,210 = 136,233,210/x
  3. Step 3: Cross multiply
    81,743,196x = 136,233,210 × 136,233,210
  4. Step 4: Simplify right side
    81,743,196x = 18,559,487,506,904,100
  5. Step 5: Solve for x
    x = 18,559,487,506,904,100/81,743,196
  6. Step 6: Final answer
    x = 227,046,267.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.