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Finding the Third Proportional to 678,261 and 1,049,749.50

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Solution

The third proportional to 678,261 and 1,049,749.50 is: 1,624,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,261 : 1,049,749.50 = 1,049,749.50 : x
  2. Step 2: Convert to fraction form
    678,261/1,049,749.50 = 1,049,749.50/x
  3. Step 3: Cross multiply
    678,261x = 1,049,749.50 × 1,049,749.50
  4. Step 4: Simplify right side
    678,261x = 1,101,974,012,750.25
  5. Step 5: Solve for x
    x = 1,101,974,012,750.25/678,261
  6. Step 6: Final answer
    x = 1,624,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.