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Finding the Third Proportional to 288,564 and 431,230

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Solution

The third proportional to 288,564 and 431,230 is: 644,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564 : 431,230 = 431,230 : x
  2. Step 2: Convert to fraction form
    288,564/431,230 = 431,230/x
  3. Step 3: Cross multiply
    288,564x = 431,230 × 431,230
  4. Step 4: Simplify right side
    288,564x = 185,959,312,900
  5. Step 5: Solve for x
    x = 185,959,312,900/288,564
  6. Step 6: Final answer
    x = 644,430.05

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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.