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Finding the Third Proportional to 869,015 and 1,272,411

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Solution

The third proportional to 869,015 and 1,272,411 is: 1,863,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,015 : 1,272,411 = 1,272,411 : x
  2. Step 2: Convert to fraction form
    869,015/1,272,411 = 1,272,411/x
  3. Step 3: Cross multiply
    869,015x = 1,272,411 × 1,272,411
  4. Step 4: Simplify right side
    869,015x = 1,619,029,752,921
  5. Step 5: Solve for x
    x = 1,619,029,752,921/869,015
  6. Step 6: Final answer
    x = 1,863,063.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.