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Finding the Third Proportional to 253,216 and 375,920

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Solution

The third proportional to 253,216 and 375,920 is: 558,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,216 : 375,920 = 375,920 : x
  2. Step 2: Convert to fraction form
    253,216/375,920 = 375,920/x
  3. Step 3: Cross multiply
    253,216x = 375,920 × 375,920
  4. Step 4: Simplify right side
    253,216x = 141,315,846,400
  5. Step 5: Solve for x
    x = 141,315,846,400/253,216
  6. Step 6: Final answer
    x = 558,084.19

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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.