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Finding the Third Proportional to 349,112 and 553,692

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Solution

The third proportional to 349,112 and 553,692 is: 878,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,112 : 553,692 = 553,692 : x
  2. Step 2: Convert to fraction form
    349,112/553,692 = 553,692/x
  3. Step 3: Cross multiply
    349,112x = 553,692 × 553,692
  4. Step 4: Simplify right side
    349,112x = 306,574,830,864
  5. Step 5: Solve for x
    x = 306,574,830,864/349,112
  6. Step 6: Final answer
    x = 878,156.10

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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.