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Finding the Third Proportional to 4,890.38 and 6,988.15

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Solution

The third proportional to 4,890.38 and 6,988.15 is: 9,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.38 : 6,988.15 = 6,988.15 : x
  2. Step 2: Convert to fraction form
    4,890.38/6,988.15 = 6,988.15/x
  3. Step 3: Cross multiply
    4,890.38x = 6,988.15 × 6,988.15
  4. Step 4: Simplify right side
    4,890.38x = 48,834,218.58
  5. Step 5: Solve for x
    x = 48,834,218.58/4,890.38
  6. Step 6: Final answer
    x = 9,985.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.