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Finding the Third Proportional to 202,352 and 314,394

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Solution

The third proportional to 202,352 and 314,394 is: 488,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352 : 314,394 = 314,394 : x
  2. Step 2: Convert to fraction form
    202,352/314,394 = 314,394/x
  3. Step 3: Cross multiply
    202,352x = 314,394 × 314,394
  4. Step 4: Simplify right side
    202,352x = 98,843,587,236
  5. Step 5: Solve for x
    x = 98,843,587,236/202,352
  6. Step 6: Final answer
    x = 488,473.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.