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Finding the Third Proportional to 257,532.06 and 378,590.20

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Solution

The third proportional to 257,532.06 and 378,590.20 is: 556,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.06 : 378,590.20 = 378,590.20 : x
  2. Step 2: Convert to fraction form
    257,532.06/378,590.20 = 378,590.20/x
  3. Step 3: Cross multiply
    257,532.06x = 378,590.20 × 378,590.20
  4. Step 4: Simplify right side
    257,532.06x = 143,330,541,902.23
  5. Step 5: Solve for x
    x = 143,330,541,902.23/257,532.06
  6. Step 6: Final answer
    x = 556,554.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.