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Finding the Third Proportional to 42,256,126.50 and 89,050,825.50

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Solution

The third proportional to 42,256,126.50 and 89,050,825.50 is: 187,666,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256,126.50 : 89,050,825.50 = 89,050,825.50 : x
  2. Step 2: Convert to fraction form
    42,256,126.50/89,050,825.50 = 89,050,825.50/x
  3. Step 3: Cross multiply
    42,256,126.50x = 89,050,825.50 × 89,050,825.50
  4. Step 4: Simplify right side
    42,256,126.50x = 7,930,049,522,231,450
  5. Step 5: Solve for x
    x = 7,930,049,522,231,450/42,256,126.50
  6. Step 6: Final answer
    x = 187,666,267.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.