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Finding the Third Proportional to 769,272 and 1,686,160

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Solution

The third proportional to 769,272 and 1,686,160 is: 3,695,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,272 : 1,686,160 = 1,686,160 : x
  2. Step 2: Convert to fraction form
    769,272/1,686,160 = 1,686,160/x
  3. Step 3: Cross multiply
    769,272x = 1,686,160 × 1,686,160
  4. Step 4: Simplify right side
    769,272x = 2,843,135,545,600
  5. Step 5: Solve for x
    x = 2,843,135,545,600/769,272
  6. Step 6: Final answer
    x = 3,695,878.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.