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Finding the Third Proportional to 71,971,257 and 156,721,074

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Solution

The third proportional to 71,971,257 and 156,721,074 is: 341,268,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,257 : 156,721,074 = 156,721,074 : x
  2. Step 2: Convert to fraction form
    71,971,257/156,721,074 = 156,721,074/x
  3. Step 3: Cross multiply
    71,971,257x = 156,721,074 × 156,721,074
  4. Step 4: Simplify right side
    71,971,257x = 24,561,495,035,713,476
  5. Step 5: Solve for x
    x = 24,561,495,035,713,476/71,971,257
  6. Step 6: Final answer
    x = 341,268,112.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.