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Finding the Third Proportional to 988.45 and 2,132.58

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Solution

The third proportional to 988.45 and 2,132.58 is: 4,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.45 : 2,132.58 = 2,132.58 : x
  2. Step 2: Convert to fraction form
    988.45/2,132.58 = 2,132.58/x
  3. Step 3: Cross multiply
    988.45x = 2,132.58 × 2,132.58
  4. Step 4: Simplify right side
    988.45x = 4,547,889.46
  5. Step 5: Solve for x
    x = 4,547,889.46/988.45
  6. Step 6: Final answer
    x = 4,601.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.