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Finding the Third Proportional to 756,400 and 1,119,664

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Solution

The third proportional to 756,400 and 1,119,664 is: 1,657,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,400 : 1,119,664 = 1,119,664 : x
  2. Step 2: Convert to fraction form
    756,400/1,119,664 = 1,119,664/x
  3. Step 3: Cross multiply
    756,400x = 1,119,664 × 1,119,664
  4. Step 4: Simplify right side
    756,400x = 1,253,647,472,896
  5. Step 5: Solve for x
    x = 1,253,647,472,896/756,400
  6. Step 6: Final answer
    x = 1,657,386.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.