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Finding the Third Proportional to 77,574,538 and 166,918,388

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Solution

The third proportional to 77,574,538 and 166,918,388 is: 359,160,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574,538 : 166,918,388 = 166,918,388 : x
  2. Step 2: Convert to fraction form
    77,574,538/166,918,388 = 166,918,388/x
  3. Step 3: Cross multiply
    77,574,538x = 166,918,388 × 166,918,388
  4. Step 4: Simplify right side
    77,574,538x = 27,861,748,252,518,544
  5. Step 5: Solve for x
    x = 27,861,748,252,518,544/77,574,538
  6. Step 6: Final answer
    x = 359,160,994.97

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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.