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Finding the Third Proportional to 132,955,318 and 204,235,648.50

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Solution

The third proportional to 132,955,318 and 204,235,648.50 is: 313,730,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,955,318 : 204,235,648.50 = 204,235,648.50 : x
  2. Step 2: Convert to fraction form
    132,955,318/204,235,648.50 = 204,235,648.50/x
  3. Step 3: Cross multiply
    132,955,318x = 204,235,648.50 × 204,235,648.50
  4. Step 4: Simplify right side
    132,955,318x = 41,712,200,118,215,552
  5. Step 5: Solve for x
    x = 41,712,200,118,215,552/132,955,318
  6. Step 6: Final answer
    x = 313,730,964.25

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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.