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Finding the Third Proportional to 349,215 and 553,893

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Solution

The third proportional to 349,215 and 553,893 is: 878,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215 : 553,893 = 553,893 : x
  2. Step 2: Convert to fraction form
    349,215/553,893 = 553,893/x
  3. Step 3: Cross multiply
    349,215x = 553,893 × 553,893
  4. Step 4: Simplify right side
    349,215x = 306,797,455,449
  5. Step 5: Solve for x
    x = 306,797,455,449/349,215
  6. Step 6: Final answer
    x = 878,534.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.