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Finding the Third Proportional to 58,707 and 78,644

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Solution

The third proportional to 58,707 and 78,644 is: 105,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,707 : 78,644 = 78,644 : x
  2. Step 2: Convert to fraction form
    58,707/78,644 = 78,644/x
  3. Step 3: Cross multiply
    58,707x = 78,644 × 78,644
  4. Step 4: Simplify right side
    58,707x = 6,184,878,736
  5. Step 5: Solve for x
    x = 6,184,878,736/58,707
  6. Step 6: Final answer
    x = 105,351.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.