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Finding the Third Proportional to 870,915 and 1,866,246

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Solution

The third proportional to 870,915 and 1,866,246 is: 3,999,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,915 : 1,866,246 = 1,866,246 : x
  2. Step 2: Convert to fraction form
    870,915/1,866,246 = 1,866,246/x
  3. Step 3: Cross multiply
    870,915x = 1,866,246 × 1,866,246
  4. Step 4: Simplify right side
    870,915x = 3,482,874,132,516
  5. Step 5: Solve for x
    x = 3,482,874,132,516/870,915
  6. Step 6: Final answer
    x = 3,999,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.