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Finding the Third Proportional to 53,381 and 78,535

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Solution

The third proportional to 53,381 and 78,535 is: 115,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,381 : 78,535 = 78,535 : x
  2. Step 2: Convert to fraction form
    53,381/78,535 = 78,535/x
  3. Step 3: Cross multiply
    53,381x = 78,535 × 78,535
  4. Step 4: Simplify right side
    53,381x = 6,167,746,225
  5. Step 5: Solve for x
    x = 6,167,746,225/53,381
  6. Step 6: Final answer
    x = 115,541.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.