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Finding the Third Proportional to 268,672 and 564,920

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Solution

The third proportional to 268,672 and 564,920 is: 1,187,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,672 : 564,920 = 564,920 : x
  2. Step 2: Convert to fraction form
    268,672/564,920 = 564,920/x
  3. Step 3: Cross multiply
    268,672x = 564,920 × 564,920
  4. Step 4: Simplify right side
    268,672x = 319,134,606,400
  5. Step 5: Solve for x
    x = 319,134,606,400/268,672
  6. Step 6: Final answer
    x = 1,187,822.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.