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Finding the Third Proportional to 286,284 and 420,674

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Solution

The third proportional to 286,284 and 420,674 is: 618,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,284 : 420,674 = 420,674 : x
  2. Step 2: Convert to fraction form
    286,284/420,674 = 420,674/x
  3. Step 3: Cross multiply
    286,284x = 420,674 × 420,674
  4. Step 4: Simplify right side
    286,284x = 176,966,614,276
  5. Step 5: Solve for x
    x = 176,966,614,276/286,284
  6. Step 6: Final answer
    x = 618,150.56

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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.