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Finding the Third Proportional to 64,686 and 138,822

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Solution

The third proportional to 64,686 and 138,822 is: 297,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 138,822 = 138,822 : x
  2. Step 2: Convert to fraction form
    64,686/138,822 = 138,822/x
  3. Step 3: Cross multiply
    64,686x = 138,822 × 138,822
  4. Step 4: Simplify right side
    64,686x = 19,271,547,684
  5. Step 5: Solve for x
    x = 19,271,547,684/64,686
  6. Step 6: Final answer
    x = 297,924.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.