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Finding the Third Proportional to 286,626 and 607,400

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Solution

The third proportional to 286,626 and 607,400 is: 1,287,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,626 : 607,400 = 607,400 : x
  2. Step 2: Convert to fraction form
    286,626/607,400 = 607,400/x
  3. Step 3: Cross multiply
    286,626x = 607,400 × 607,400
  4. Step 4: Simplify right side
    286,626x = 368,934,760,000
  5. Step 5: Solve for x
    x = 368,934,760,000/286,626
  6. Step 6: Final answer
    x = 1,287,164.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.