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Finding the Third Proportional to 400,087 and 872,070

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Solution

The third proportional to 400,087 and 872,070 is: 1,900,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,087 : 872,070 = 872,070 : x
  2. Step 2: Convert to fraction form
    400,087/872,070 = 872,070/x
  3. Step 3: Cross multiply
    400,087x = 872,070 × 872,070
  4. Step 4: Simplify right side
    400,087x = 760,506,084,900
  5. Step 5: Solve for x
    x = 760,506,084,900/400,087
  6. Step 6: Final answer
    x = 1,900,851.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.