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Finding the Third Proportional to 640,989 and 1,367,787

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Solution

The third proportional to 640,989 and 1,367,787 is: 2,918,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,989 : 1,367,787 = 1,367,787 : x
  2. Step 2: Convert to fraction form
    640,989/1,367,787 = 1,367,787/x
  3. Step 3: Cross multiply
    640,989x = 1,367,787 × 1,367,787
  4. Step 4: Simplify right side
    640,989x = 1,870,841,277,369
  5. Step 5: Solve for x
    x = 1,870,841,277,369/640,989
  6. Step 6: Final answer
    x = 2,918,679.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.