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Finding the Third Proportional to 252,209 and 553,558

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Solution

The third proportional to 252,209 and 553,558 is: 1,214,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,209 : 553,558 = 553,558 : x
  2. Step 2: Convert to fraction form
    252,209/553,558 = 553,558/x
  3. Step 3: Cross multiply
    252,209x = 553,558 × 553,558
  4. Step 4: Simplify right side
    252,209x = 306,426,459,364
  5. Step 5: Solve for x
    x = 306,426,459,364/252,209
  6. Step 6: Final answer
    x = 1,214,970.36

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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.