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Finding the Third Proportional to 870,918 and 1,345,212

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Solution

The third proportional to 870,918 and 1,345,212 is: 2,077,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,918 : 1,345,212 = 1,345,212 : x
  2. Step 2: Convert to fraction form
    870,918/1,345,212 = 1,345,212/x
  3. Step 3: Cross multiply
    870,918x = 1,345,212 × 1,345,212
  4. Step 4: Simplify right side
    870,918x = 1,809,595,324,944
  5. Step 5: Solve for x
    x = 1,809,595,324,944/870,918
  6. Step 6: Final answer
    x = 2,077,802.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.