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Finding the Third Proportional to 688,400 and 967,707.50

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Solution

The third proportional to 688,400 and 967,707.50 is: 1,360,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,400 : 967,707.50 = 967,707.50 : x
  2. Step 2: Convert to fraction form
    688,400/967,707.50 = 967,707.50/x
  3. Step 3: Cross multiply
    688,400x = 967,707.50 × 967,707.50
  4. Step 4: Simplify right side
    688,400x = 936,457,805,556.25
  5. Step 5: Solve for x
    x = 936,457,805,556.25/688,400
  6. Step 6: Final answer
    x = 1,360,339.64

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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.