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Finding the Third Proportional to 81,398,449 and 174,613,211

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Solution

The third proportional to 81,398,449 and 174,613,211 is: 374,574,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398,449 : 174,613,211 = 174,613,211 : x
  2. Step 2: Convert to fraction form
    81,398,449/174,613,211 = 174,613,211/x
  3. Step 3: Cross multiply
    81,398,449x = 174,613,211 × 174,613,211
  4. Step 4: Simplify right side
    81,398,449x = 30,489,773,455,730,520
  5. Step 5: Solve for x
    x = 30,489,773,455,730,520/81,398,449
  6. Step 6: Final answer
    x = 374,574,378.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.