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Finding the Third Proportional to 253,222 and 553,498

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Solution

The third proportional to 253,222 and 553,498 is: 1,209,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,222 : 553,498 = 553,498 : x
  2. Step 2: Convert to fraction form
    253,222/553,498 = 553,498/x
  3. Step 3: Cross multiply
    253,222x = 553,498 × 553,498
  4. Step 4: Simplify right side
    253,222x = 306,360,036,004
  5. Step 5: Solve for x
    x = 306,360,036,004/253,222
  6. Step 6: Final answer
    x = 1,209,847.63

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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.