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Finding the Third Proportional to 77,976,964 and 168,970,952

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Solution

The third proportional to 77,976,964 and 168,970,952 is: 366,148,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976,964 : 168,970,952 = 168,970,952 : x
  2. Step 2: Convert to fraction form
    77,976,964/168,970,952 = 168,970,952/x
  3. Step 3: Cross multiply
    77,976,964x = 168,970,952 × 168,970,952
  4. Step 4: Simplify right side
    77,976,964x = 28,551,182,619,786,304
  5. Step 5: Solve for x
    x = 28,551,182,619,786,304/77,976,964
  6. Step 6: Final answer
    x = 366,148,938.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.