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Finding the Third Proportional to 59,686 and 128,712

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Solution

The third proportional to 59,686 and 128,712 is: 277,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,686 : 128,712 = 128,712 : x
  2. Step 2: Convert to fraction form
    59,686/128,712 = 128,712/x
  3. Step 3: Cross multiply
    59,686x = 128,712 × 128,712
  4. Step 4: Simplify right side
    59,686x = 16,566,778,944
  5. Step 5: Solve for x
    x = 16,566,778,944/59,686
  6. Step 6: Final answer
    x = 277,565.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.