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Finding the Third Proportional to 154,973 and 328,549

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Solution

The third proportional to 154,973 and 328,549 is: 696,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,973 : 328,549 = 328,549 : x
  2. Step 2: Convert to fraction form
    154,973/328,549 = 328,549/x
  3. Step 3: Cross multiply
    154,973x = 328,549 × 328,549
  4. Step 4: Simplify right side
    154,973x = 107,944,445,401
  5. Step 5: Solve for x
    x = 107,944,445,401/154,973
  6. Step 6: Final answer
    x = 696,537.11

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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.