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Finding the Third Proportional to 285,762 and 431,235

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Solution

The third proportional to 285,762 and 431,235 is: 650,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,762 : 431,235 = 431,235 : x
  2. Step 2: Convert to fraction form
    285,762/431,235 = 431,235/x
  3. Step 3: Cross multiply
    285,762x = 431,235 × 431,235
  4. Step 4: Simplify right side
    285,762x = 185,963,625,225
  5. Step 5: Solve for x
    x = 185,963,625,225/285,762
  6. Step 6: Final answer
    x = 650,764.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.