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Finding the Third Proportional to 90,172,908 and 196,947,808.50

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Solution

The third proportional to 90,172,908 and 196,947,808.50 is: 430,156,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172,908 : 196,947,808.50 = 196,947,808.50 : x
  2. Step 2: Convert to fraction form
    90,172,908/196,947,808.50 = 196,947,808.50/x
  3. Step 3: Cross multiply
    90,172,908x = 196,947,808.50 × 196,947,808.50
  4. Step 4: Simplify right side
    90,172,908x = 38,788,439,272,952,672
  5. Step 5: Solve for x
    x = 38,788,439,272,952,672/90,172,908
  6. Step 6: Final answer
    x = 430,156,242.42

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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.