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Finding the Third Proportional to 8,293,860 and 12,982,572

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Solution

The third proportional to 8,293,860 and 12,982,572 is: 20,321,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,860 : 12,982,572 = 12,982,572 : x
  2. Step 2: Convert to fraction form
    8,293,860/12,982,572 = 12,982,572/x
  3. Step 3: Cross multiply
    8,293,860x = 12,982,572 × 12,982,572
  4. Step 4: Simplify right side
    8,293,860x = 168,547,175,735,184
  5. Step 5: Solve for x
    x = 168,547,175,735,184/8,293,860
  6. Step 6: Final answer
    x = 20,321,921.97

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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.