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Finding the Third Proportional to 212,952 and 319,432

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Solution

The third proportional to 212,952 and 319,432 is: 479,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952 : 319,432 = 319,432 : x
  2. Step 2: Convert to fraction form
    212,952/319,432 = 319,432/x
  3. Step 3: Cross multiply
    212,952x = 319,432 × 319,432
  4. Step 4: Simplify right side
    212,952x = 102,036,802,624
  5. Step 5: Solve for x
    x = 102,036,802,624/212,952
  6. Step 6: Final answer
    x = 479,154.00

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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.