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Finding the Third Proportional to 349,026 and 553,561

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Solution

The third proportional to 349,026 and 553,561 is: 877,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,026 : 553,561 = 553,561 : x
  2. Step 2: Convert to fraction form
    349,026/553,561 = 553,561/x
  3. Step 3: Cross multiply
    349,026x = 553,561 × 553,561
  4. Step 4: Simplify right side
    349,026x = 306,429,780,721
  5. Step 5: Solve for x
    x = 306,429,780,721/349,026
  6. Step 6: Final answer
    x = 877,956.89

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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.