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Finding the Third Proportional to 252,210 and 553,560

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Solution

The third proportional to 252,210 and 553,560 is: 1,214,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,210 : 553,560 = 553,560 : x
  2. Step 2: Convert to fraction form
    252,210/553,560 = 553,560/x
  3. Step 3: Cross multiply
    252,210x = 553,560 × 553,560
  4. Step 4: Simplify right side
    252,210x = 306,428,673,600
  5. Step 5: Solve for x
    x = 306,428,673,600/252,210
  6. Step 6: Final answer
    x = 1,214,974.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.