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Finding the Third Proportional to 223,460 and 312,577

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Solution

The third proportional to 223,460 and 312,577 is: 437,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,460 : 312,577 = 312,577 : x
  2. Step 2: Convert to fraction form
    223,460/312,577 = 312,577/x
  3. Step 3: Cross multiply
    223,460x = 312,577 × 312,577
  4. Step 4: Simplify right side
    223,460x = 97,704,380,929
  5. Step 5: Solve for x
    x = 97,704,380,929/223,460
  6. Step 6: Final answer
    x = 437,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.