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Finding the Third Proportional to 688,320 and 967,578

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Solution

The third proportional to 688,320 and 967,578 is: 1,360,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,320 : 967,578 = 967,578 : x
  2. Step 2: Convert to fraction form
    688,320/967,578 = 967,578/x
  3. Step 3: Cross multiply
    688,320x = 967,578 × 967,578
  4. Step 4: Simplify right side
    688,320x = 936,207,186,084
  5. Step 5: Solve for x
    x = 936,207,186,084/688,320
  6. Step 6: Final answer
    x = 1,360,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.