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Finding the Third Proportional to 40,513 and 63,407

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Solution

The third proportional to 40,513 and 63,407 is: 99,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,513 : 63,407 = 63,407 : x
  2. Step 2: Convert to fraction form
    40,513/63,407 = 63,407/x
  3. Step 3: Cross multiply
    40,513x = 63,407 × 63,407
  4. Step 4: Simplify right side
    40,513x = 4,020,447,649
  5. Step 5: Solve for x
    x = 4,020,447,649/40,513
  6. Step 6: Final answer
    x = 99,238.46

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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.