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Finding the Third Proportional to 869,416 and 1,867,370

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Solution

The third proportional to 869,416 and 1,867,370 is: 4,010,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,416 : 1,867,370 = 1,867,370 : x
  2. Step 2: Convert to fraction form
    869,416/1,867,370 = 1,867,370/x
  3. Step 3: Cross multiply
    869,416x = 1,867,370 × 1,867,370
  4. Step 4: Simplify right side
    869,416x = 3,487,070,716,900
  5. Step 5: Solve for x
    x = 3,487,070,716,900/869,416
  6. Step 6: Final answer
    x = 4,010,819.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.