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Finding the Third Proportional to 58,106 and 86,931

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Solution

The third proportional to 58,106 and 86,931 is: 130,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,106 : 86,931 = 86,931 : x
  2. Step 2: Convert to fraction form
    58,106/86,931 = 86,931/x
  3. Step 3: Cross multiply
    58,106x = 86,931 × 86,931
  4. Step 4: Simplify right side
    58,106x = 7,556,998,761
  5. Step 5: Solve for x
    x = 7,556,998,761/58,106
  6. Step 6: Final answer
    x = 130,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.