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Finding the Third Proportional to 154,986 and 328,572

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Solution

The third proportional to 154,986 and 328,572 is: 696,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,986 : 328,572 = 328,572 : x
  2. Step 2: Convert to fraction form
    154,986/328,572 = 328,572/x
  3. Step 3: Cross multiply
    154,986x = 328,572 × 328,572
  4. Step 4: Simplify right side
    154,986x = 107,959,559,184
  5. Step 5: Solve for x
    x = 107,959,559,184/154,986
  6. Step 6: Final answer
    x = 696,576.20

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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.