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Finding the Third Proportional to 978.19 and 2,098.13

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Solution

The third proportional to 978.19 and 2,098.13 is: 4,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.19 : 2,098.13 = 2,098.13 : x
  2. Step 2: Convert to fraction form
    978.19/2,098.13 = 2,098.13/x
  3. Step 3: Cross multiply
    978.19x = 2,098.13 × 2,098.13
  4. Step 4: Simplify right side
    978.19x = 4,402,128.52
  5. Step 5: Solve for x
    x = 4,402,128.52/978.19
  6. Step 6: Final answer
    x = 4,500.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.