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Finding the Third Proportional to 154,989 and 328,566

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Solution

The third proportional to 154,989 and 328,566 is: 696,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,989 : 328,566 = 328,566 : x
  2. Step 2: Convert to fraction form
    154,989/328,566 = 328,566/x
  3. Step 3: Cross multiply
    154,989x = 328,566 × 328,566
  4. Step 4: Simplify right side
    154,989x = 107,955,616,356
  5. Step 5: Solve for x
    x = 107,955,616,356/154,989
  6. Step 6: Final answer
    x = 696,537.28

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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.