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Finding the Third Proportional to 89,498,286 and 138,079,566

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Solution

The third proportional to 89,498,286 and 138,079,566 is: 213,031,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,498,286 : 138,079,566 = 138,079,566 : x
  2. Step 2: Convert to fraction form
    89,498,286/138,079,566 = 138,079,566/x
  3. Step 3: Cross multiply
    89,498,286x = 138,079,566 × 138,079,566
  4. Step 4: Simplify right side
    89,498,286x = 19,065,966,546,748,356
  5. Step 5: Solve for x
    x = 19,065,966,546,748,356/89,498,286
  6. Step 6: Final answer
    x = 213,031,638.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.