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Finding the Third Proportional to 287,690 and 586,804

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Solution

The third proportional to 287,690 and 586,804 is: 1,196,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,690 : 586,804 = 586,804 : x
  2. Step 2: Convert to fraction form
    287,690/586,804 = 586,804/x
  3. Step 3: Cross multiply
    287,690x = 586,804 × 586,804
  4. Step 4: Simplify right side
    287,690x = 344,338,934,416
  5. Step 5: Solve for x
    x = 344,338,934,416/287,690
  6. Step 6: Final answer
    x = 1,196,909.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.