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Finding the Third Proportional to 148,385 and 314,427

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Solution

The third proportional to 148,385 and 314,427 is: 666,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,385 : 314,427 = 314,427 : x
  2. Step 2: Convert to fraction form
    148,385/314,427 = 314,427/x
  3. Step 3: Cross multiply
    148,385x = 314,427 × 314,427
  4. Step 4: Simplify right side
    148,385x = 98,864,338,329
  5. Step 5: Solve for x
    x = 98,864,338,329/148,385
  6. Step 6: Final answer
    x = 666,269.09

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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.