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Finding the Third Proportional to 286,006 and 420,746

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Solution

The third proportional to 286,006 and 420,746 is: 618,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,006 : 420,746 = 420,746 : x
  2. Step 2: Convert to fraction form
    286,006/420,746 = 420,746/x
  3. Step 3: Cross multiply
    286,006x = 420,746 × 420,746
  4. Step 4: Simplify right side
    286,006x = 177,027,196,516
  5. Step 5: Solve for x
    x = 177,027,196,516/286,006
  6. Step 6: Final answer
    x = 618,963.23

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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.