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Finding the Third Proportional to 434,138 and 678,987

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Solution

The third proportional to 434,138 and 678,987 is: 1,061,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,138 : 678,987 = 678,987 : x
  2. Step 2: Convert to fraction form
    434,138/678,987 = 678,987/x
  3. Step 3: Cross multiply
    434,138x = 678,987 × 678,987
  4. Step 4: Simplify right side
    434,138x = 461,023,346,169
  5. Step 5: Solve for x
    x = 461,023,346,169/434,138
  6. Step 6: Final answer
    x = 1,061,928.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.