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Finding the Third Proportional to 92,564,794.50 and 197,431,462.50

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Solution

The third proportional to 92,564,794.50 and 197,431,462.50 is: 421,101,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,564,794.50 : 197,431,462.50 = 197,431,462.50 : x
  2. Step 2: Convert to fraction form
    92,564,794.50/197,431,462.50 = 197,431,462.50/x
  3. Step 3: Cross multiply
    92,564,794.50x = 197,431,462.50 × 197,431,462.50
  4. Step 4: Simplify right side
    92,564,794.50x = 38,979,182,384,888,904
  5. Step 5: Solve for x
    x = 38,979,182,384,888,904/92,564,794.50
  6. Step 6: Final answer
    x = 421,101,592.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.