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Finding the Third Proportional to 148,155 and 328,342

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Solution

The third proportional to 148,155 and 328,342 is: 727,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,155 : 328,342 = 328,342 : x
  2. Step 2: Convert to fraction form
    148,155/328,342 = 328,342/x
  3. Step 3: Cross multiply
    148,155x = 328,342 × 328,342
  4. Step 4: Simplify right side
    148,155x = 107,808,468,964
  5. Step 5: Solve for x
    x = 107,808,468,964/148,155
  6. Step 6: Final answer
    x = 727,673.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.