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Finding the Third Proportional to 53,418 and 77,371

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Solution

The third proportional to 53,418 and 77,371 is: 112,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,418 : 77,371 = 77,371 : x
  2. Step 2: Convert to fraction form
    53,418/77,371 = 77,371/x
  3. Step 3: Cross multiply
    53,418x = 77,371 × 77,371
  4. Step 4: Simplify right side
    53,418x = 5,986,271,641
  5. Step 5: Solve for x
    x = 5,986,271,641/53,418
  6. Step 6: Final answer
    x = 112,064.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.