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Finding the Third Proportional to 4,634,191.50 and 10,092,232.50

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Solution

The third proportional to 4,634,191.50 and 10,092,232.50 is: 21,978,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634,191.50 : 10,092,232.50 = 10,092,232.50 : x
  2. Step 2: Convert to fraction form
    4,634,191.50/10,092,232.50 = 10,092,232.50/x
  3. Step 3: Cross multiply
    4,634,191.50x = 10,092,232.50 × 10,092,232.50
  4. Step 4: Simplify right side
    4,634,191.50x = 101,853,156,834,056.25
  5. Step 5: Solve for x
    x = 101,853,156,834,056.25/4,634,191.50
  6. Step 6: Final answer
    x = 21,978,624.93

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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.