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Finding the Third Proportional to 154,960 and 328,528

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Solution

The third proportional to 154,960 and 328,528 is: 696,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,960 : 328,528 = 328,528 : x
  2. Step 2: Convert to fraction form
    154,960/328,528 = 328,528/x
  3. Step 3: Cross multiply
    154,960x = 328,528 × 328,528
  4. Step 4: Simplify right side
    154,960x = 107,930,646,784
  5. Step 5: Solve for x
    x = 107,930,646,784/154,960
  6. Step 6: Final answer
    x = 696,506.50

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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.