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Finding the Third Proportional to 42,001,728 and 65,888,311.50

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Solution

The third proportional to 42,001,728 and 65,888,311.50 is: 103,359,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001,728 : 65,888,311.50 = 65,888,311.50 : x
  2. Step 2: Convert to fraction form
    42,001,728/65,888,311.50 = 65,888,311.50/x
  3. Step 3: Cross multiply
    42,001,728x = 65,888,311.50 × 65,888,311.50
  4. Step 4: Simplify right side
    42,001,728x = 4,341,269,592,321,032
  5. Step 5: Solve for x
    x = 4,341,269,592,321,032/42,001,728
  6. Step 6: Final answer
    x = 103,359,309.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.