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Finding the Third Proportional to 132,715,989 and 206,061,450

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Solution

The third proportional to 132,715,989 and 206,061,450 is: 319,941,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,715,989 : 206,061,450 = 206,061,450 : x
  2. Step 2: Convert to fraction form
    132,715,989/206,061,450 = 206,061,450/x
  3. Step 3: Cross multiply
    132,715,989x = 206,061,450 × 206,061,450
  4. Step 4: Simplify right side
    132,715,989x = 42,461,321,176,102,496
  5. Step 5: Solve for x
    x = 42,461,321,176,102,496/132,715,989
  6. Step 6: Final answer
    x = 319,941,263.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.