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Finding the Third Proportional to 287,334.21 and 431,001.32

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Solution

The third proportional to 287,334.21 and 431,001.32 is: 646,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,334.21 : 431,001.32 = 431,001.32 : x
  2. Step 2: Convert to fraction form
    287,334.21/431,001.32 = 431,001.32/x
  3. Step 3: Cross multiply
    287,334.21x = 431,001.32 × 431,001.32
  4. Step 4: Simplify right side
    287,334.21x = 185,762,134,743.91
  5. Step 5: Solve for x
    x = 185,762,134,743.91/287,334.21
  6. Step 6: Final answer
    x = 646,501.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.