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Finding the Third Proportional to 154,930 and 328,461

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Solution

The third proportional to 154,930 and 328,461 is: 696,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930 : 328,461 = 328,461 : x
  2. Step 2: Convert to fraction form
    154,930/328,461 = 328,461/x
  3. Step 3: Cross multiply
    154,930x = 328,461 × 328,461
  4. Step 4: Simplify right side
    154,930x = 107,886,628,521
  5. Step 5: Solve for x
    x = 107,886,628,521/154,930
  6. Step 6: Final answer
    x = 696,357.25

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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.