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Finding the Third Proportional to 288,454 and 430,287

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Solution

The third proportional to 288,454 and 430,287 is: 641,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,454 : 430,287 = 430,287 : x
  2. Step 2: Convert to fraction form
    288,454/430,287 = 430,287/x
  3. Step 3: Cross multiply
    288,454x = 430,287 × 430,287
  4. Step 4: Simplify right side
    288,454x = 185,146,902,369
  5. Step 5: Solve for x
    x = 185,146,902,369/288,454
  6. Step 6: Final answer
    x = 641,859.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.