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Finding the Third Proportional to 132,402,063 and 206,649,634.50

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Solution

The third proportional to 132,402,063 and 206,649,634.50 is: 322,533,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,402,063 : 206,649,634.50 = 206,649,634.50 : x
  2. Step 2: Convert to fraction form
    132,402,063/206,649,634.50 = 206,649,634.50/x
  3. Step 3: Cross multiply
    132,402,063x = 206,649,634.50 × 206,649,634.50
  4. Step 4: Simplify right side
    132,402,063x = 42,704,071,438,983,592
  5. Step 5: Solve for x
    x = 42,704,071,438,983,592/132,402,063
  6. Step 6: Final answer
    x = 322,533,278.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.