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Finding the Third Proportional to 553,206 and 854,373

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Solution

The third proportional to 553,206 and 854,373 is: 1,319,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,206 : 854,373 = 854,373 : x
  2. Step 2: Convert to fraction form
    553,206/854,373 = 854,373/x
  3. Step 3: Cross multiply
    553,206x = 854,373 × 854,373
  4. Step 4: Simplify right side
    553,206x = 729,953,223,129
  5. Step 5: Solve for x
    x = 729,953,223,129/553,206
  6. Step 6: Final answer
    x = 1,319,496.22

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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.