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Finding the Third Proportional to 285,232 and 438,460

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Solution

The third proportional to 285,232 and 438,460 is: 674,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,232 : 438,460 = 438,460 : x
  2. Step 2: Convert to fraction form
    285,232/438,460 = 438,460/x
  3. Step 3: Cross multiply
    285,232x = 438,460 × 438,460
  4. Step 4: Simplify right side
    285,232x = 192,247,171,600
  5. Step 5: Solve for x
    x = 192,247,171,600/285,232
  6. Step 6: Final answer
    x = 674,002.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.