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Finding the Third Proportional to 71,971,270 and 156,721,100

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Solution

The third proportional to 71,971,270 and 156,721,100 is: 341,268,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,270 : 156,721,100 = 156,721,100 : x
  2. Step 2: Convert to fraction form
    71,971,270/156,721,100 = 156,721,100/x
  3. Step 3: Cross multiply
    71,971,270x = 156,721,100 × 156,721,100
  4. Step 4: Simplify right side
    71,971,270x = 24,561,503,185,210,000
  5. Step 5: Solve for x
    x = 24,561,503,185,210,000/71,971,270
  6. Step 6: Final answer
    x = 341,268,164.16

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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.