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Finding the Third Proportional to 345,872 and 534,153

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Solution

The third proportional to 345,872 and 534,153 is: 824,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,872 : 534,153 = 534,153 : x
  2. Step 2: Convert to fraction form
    345,872/534,153 = 534,153/x
  3. Step 3: Cross multiply
    345,872x = 534,153 × 534,153
  4. Step 4: Simplify right side
    345,872x = 285,319,427,409
  5. Step 5: Solve for x
    x = 285,319,427,409/345,872
  6. Step 6: Final answer
    x = 824,927.80

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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.