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Finding the Third Proportional to 238,312 and 351,920

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Solution

The third proportional to 238,312 and 351,920 is: 519,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,312 : 351,920 = 351,920 : x
  2. Step 2: Convert to fraction form
    238,312/351,920 = 351,920/x
  3. Step 3: Cross multiply
    238,312x = 351,920 × 351,920
  4. Step 4: Simplify right side
    238,312x = 123,847,686,400
  5. Step 5: Solve for x
    x = 123,847,686,400/238,312
  6. Step 6: Final answer
    x = 519,687.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.