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Finding the Third Proportional to 87,462,153 and 202,480,327.50

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Solution

The third proportional to 87,462,153 and 202,480,327.50 is: 468,754,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,462,153 : 202,480,327.50 = 202,480,327.50 : x
  2. Step 2: Convert to fraction form
    87,462,153/202,480,327.50 = 202,480,327.50/x
  3. Step 3: Cross multiply
    87,462,153x = 202,480,327.50 × 202,480,327.50
  4. Step 4: Simplify right side
    87,462,153x = 40,998,283,024,507,256
  5. Step 5: Solve for x
    x = 40,998,283,024,507,256/87,462,153
  6. Step 6: Final answer
    x = 468,754,559.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.