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Finding the Third Proportional to 456.89 and 1,000.55

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Solution

The third proportional to 456.89 and 1,000.55 is: 2,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.89 : 1,000.55 = 1,000.55 : x
  2. Step 2: Convert to fraction form
    456.89/1,000.55 = 1,000.55/x
  3. Step 3: Cross multiply
    456.89x = 1,000.55 × 1,000.55
  4. Step 4: Simplify right side
    456.89x = 1,001,094.05
  5. Step 5: Solve for x
    x = 1,001,094.05/456.89
  6. Step 6: Final answer
    x = 2,191.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.