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Finding the Third Proportional to 177,148,298 and 386,531,520

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Solution

The third proportional to 177,148,298 and 386,531,520 is: 843,398,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,148,298 : 386,531,520 = 386,531,520 : x
  2. Step 2: Convert to fraction form
    177,148,298/386,531,520 = 386,531,520/x
  3. Step 3: Cross multiply
    177,148,298x = 386,531,520 × 386,531,520
  4. Step 4: Simplify right side
    177,148,298x = 149,406,615,953,510,400
  5. Step 5: Solve for x
    x = 149,406,615,953,510,400/177,148,298
  6. Step 6: Final answer
    x = 843,398,540.32

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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.