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Finding the Third Proportional to 553,261 and 854,448

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Solution

The third proportional to 553,261 and 854,448 is: 1,319,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,261 : 854,448 = 854,448 : x
  2. Step 2: Convert to fraction form
    553,261/854,448 = 854,448/x
  3. Step 3: Cross multiply
    553,261x = 854,448 × 854,448
  4. Step 4: Simplify right side
    553,261x = 730,081,384,704
  5. Step 5: Solve for x
    x = 730,081,384,704/553,261
  6. Step 6: Final answer
    x = 1,319,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.