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Finding the Third Proportional to 678,360 and 1,073,916

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Solution

The third proportional to 678,360 and 1,073,916 is: 1,700,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,360 : 1,073,916 = 1,073,916 : x
  2. Step 2: Convert to fraction form
    678,360/1,073,916 = 1,073,916/x
  3. Step 3: Cross multiply
    678,360x = 1,073,916 × 1,073,916
  4. Step 4: Simplify right side
    678,360x = 1,153,295,575,056
  5. Step 5: Solve for x
    x = 1,153,295,575,056/678,360
  6. Step 6: Final answer
    x = 1,700,123.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.