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Finding the Third Proportional to 951.50 and 2,345.75

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Solution

The third proportional to 951.50 and 2,345.75 is: 5,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.50 : 2,345.75 = 2,345.75 : x
  2. Step 2: Convert to fraction form
    951.50/2,345.75 = 2,345.75/x
  3. Step 3: Cross multiply
    951.50x = 2,345.75 × 2,345.75
  4. Step 4: Simplify right side
    951.50x = 5,502,543.06
  5. Step 5: Solve for x
    x = 5,502,543.06/951.50
  6. Step 6: Final answer
    x = 5,783.02

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.