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Finding the Third Proportional to 870,984 and 1,368,696

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Solution

The third proportional to 870,984 and 1,368,696 is: 2,150,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,984 : 1,368,696 = 1,368,696 : x
  2. Step 2: Convert to fraction form
    870,984/1,368,696 = 1,368,696/x
  3. Step 3: Cross multiply
    870,984x = 1,368,696 × 1,368,696
  4. Step 4: Simplify right side
    870,984x = 1,873,328,740,416
  5. Step 5: Solve for x
    x = 1,873,328,740,416/870,984
  6. Step 6: Final answer
    x = 2,150,818.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.