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Finding the Third Proportional to 8,293,347 and 12,981,470.06

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Solution

The third proportional to 8,293,347 and 12,981,470.06 is: 20,319,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,347 : 12,981,470.06 = 12,981,470.06 : x
  2. Step 2: Convert to fraction form
    8,293,347/12,981,470.06 = 12,981,470.06/x
  3. Step 3: Cross multiply
    8,293,347x = 12,981,470.06 × 12,981,470.06
  4. Step 4: Simplify right side
    8,293,347x = 168,518,564,983,583.75
  5. Step 5: Solve for x
    x = 168,518,564,983,583.75/8,293,347
  6. Step 6: Final answer
    x = 20,319,729.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.