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Finding the Third Proportional to 154,927 and 328,454

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Solution

The third proportional to 154,927 and 328,454 is: 696,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,927 : 328,454 = 328,454 : x
  2. Step 2: Convert to fraction form
    154,927/328,454 = 328,454/x
  3. Step 3: Cross multiply
    154,927x = 328,454 × 328,454
  4. Step 4: Simplify right side
    154,927x = 107,882,030,116
  5. Step 5: Solve for x
    x = 107,882,030,116/154,927
  6. Step 6: Final answer
    x = 696,341.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.