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Finding the Third Proportional to 286,280 and 420,668

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Solution

The third proportional to 286,280 and 420,668 is: 618,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,280 : 420,668 = 420,668 : x
  2. Step 2: Convert to fraction form
    286,280/420,668 = 420,668/x
  3. Step 3: Cross multiply
    286,280x = 420,668 × 420,668
  4. Step 4: Simplify right side
    286,280x = 176,961,566,224
  5. Step 5: Solve for x
    x = 176,961,566,224/286,280
  6. Step 6: Final answer
    x = 618,141.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.