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Finding the Third Proportional to 287,688 and 586,800

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Solution

The third proportional to 287,688 and 586,800 is: 1,196,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,688 : 586,800 = 586,800 : x
  2. Step 2: Convert to fraction form
    287,688/586,800 = 586,800/x
  3. Step 3: Cross multiply
    287,688x = 586,800 × 586,800
  4. Step 4: Simplify right side
    287,688x = 344,334,240,000
  5. Step 5: Solve for x
    x = 344,334,240,000/287,688
  6. Step 6: Final answer
    x = 1,196,901.64

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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.