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Finding the Third Proportional to 90,172,905.47 and 196,947,803.53

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Solution

The third proportional to 90,172,905.47 and 196,947,803.53 is: 430,156,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172,905.47 : 196,947,803.53 = 196,947,803.53 : x
  2. Step 2: Convert to fraction form
    90,172,905.47/196,947,803.53 = 196,947,803.53/x
  3. Step 3: Cross multiply
    90,172,905.47x = 196,947,803.53 × 196,947,803.53
  4. Step 4: Simplify right side
    90,172,905.47x = 38,788,437,315,783,848
  5. Step 5: Solve for x
    x = 38,788,437,315,783,848/90,172,905.47
  6. Step 6: Final answer
    x = 430,156,232.79

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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.