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Finding the Third Proportional to 66,521 and 78,822.50

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Solution

The third proportional to 66,521 and 78,822.50 is: 93,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521 : 78,822.50 = 78,822.50 : x
  2. Step 2: Convert to fraction form
    66,521/78,822.50 = 78,822.50/x
  3. Step 3: Cross multiply
    66,521x = 78,822.50 × 78,822.50
  4. Step 4: Simplify right side
    66,521x = 6,212,986,506.25
  5. Step 5: Solve for x
    x = 6,212,986,506.25/66,521
  6. Step 6: Final answer
    x = 93,398.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.