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Finding the Third Proportional to 349,012 and 553,542

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Solution

The third proportional to 349,012 and 553,542 is: 877,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,012 : 553,542 = 553,542 : x
  2. Step 2: Convert to fraction form
    349,012/553,542 = 553,542/x
  3. Step 3: Cross multiply
    349,012x = 553,542 × 553,542
  4. Step 4: Simplify right side
    349,012x = 306,408,745,764
  5. Step 5: Solve for x
    x = 306,408,745,764/349,012
  6. Step 6: Final answer
    x = 877,931.84

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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.