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Finding the Third Proportional to 132,402,062 and 206,649,633

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Solution

The third proportional to 132,402,062 and 206,649,633 is: 322,533,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,402,062 : 206,649,633 = 206,649,633 : x
  2. Step 2: Convert to fraction form
    132,402,062/206,649,633 = 206,649,633/x
  3. Step 3: Cross multiply
    132,402,062x = 206,649,633 × 206,649,633
  4. Step 4: Simplify right side
    132,402,062x = 42,704,070,819,034,688
  5. Step 5: Solve for x
    x = 42,704,070,819,034,688/132,402,062
  6. Step 6: Final answer
    x = 322,533,276.10

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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.