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Finding the Third Proportional to 915.63 and 2,160.63

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Solution

The third proportional to 915.63 and 2,160.63 is: 5,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.63 : 2,160.63 = 2,160.63 : x
  2. Step 2: Convert to fraction form
    915.63/2,160.63 = 2,160.63/x
  3. Step 3: Cross multiply
    915.63x = 2,160.63 × 2,160.63
  4. Step 4: Simplify right side
    915.63x = 4,668,300.39
  5. Step 5: Solve for x
    x = 4,668,300.39/915.63
  6. Step 6: Final answer
    x = 5,098.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.