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Finding the Third Proportional to 252,460 and 553,205

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Solution

The third proportional to 252,460 and 553,205 is: 1,212,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,460 : 553,205 = 553,205 : x
  2. Step 2: Convert to fraction form
    252,460/553,205 = 553,205/x
  3. Step 3: Cross multiply
    252,460x = 553,205 × 553,205
  4. Step 4: Simplify right side
    252,460x = 306,035,772,025
  5. Step 5: Solve for x
    x = 306,035,772,025/252,460
  6. Step 6: Final answer
    x = 1,212,214.89

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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.