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Finding the Third Proportional to 68,528 and 78,370

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Solution

The third proportional to 68,528 and 78,370 is: 89,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528 : 78,370 = 78,370 : x
  2. Step 2: Convert to fraction form
    68,528/78,370 = 78,370/x
  3. Step 3: Cross multiply
    68,528x = 78,370 × 78,370
  4. Step 4: Simplify right side
    68,528x = 6,141,856,900
  5. Step 5: Solve for x
    x = 6,141,856,900/68,528
  6. Step 6: Final answer
    x = 89,625.51

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.