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Finding the Third Proportional to 42,507 and 91,518

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Solution

The third proportional to 42,507 and 91,518 is: 197,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507 : 91,518 = 91,518 : x
  2. Step 2: Convert to fraction form
    42,507/91,518 = 91,518/x
  3. Step 3: Cross multiply
    42,507x = 91,518 × 91,518
  4. Step 4: Simplify right side
    42,507x = 8,375,544,324
  5. Step 5: Solve for x
    x = 8,375,544,324/42,507
  6. Step 6: Final answer
    x = 197,039.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.