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Finding the Third Proportional to 135,426 and 288,348

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Solution

The third proportional to 135,426 and 288,348 is: 613,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,426 : 288,348 = 288,348 : x
  2. Step 2: Convert to fraction form
    135,426/288,348 = 288,348/x
  3. Step 3: Cross multiply
    135,426x = 288,348 × 288,348
  4. Step 4: Simplify right side
    135,426x = 83,144,569,104
  5. Step 5: Solve for x
    x = 83,144,569,104/135,426
  6. Step 6: Final answer
    x = 613,948.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.