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Finding the Third Proportional to 86,316 and 116,620

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Solution

The third proportional to 86,316 and 116,620 is: 157,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,316 : 116,620 = 116,620 : x
  2. Step 2: Convert to fraction form
    86,316/116,620 = 116,620/x
  3. Step 3: Cross multiply
    86,316x = 116,620 × 116,620
  4. Step 4: Simplify right side
    86,316x = 13,600,224,400
  5. Step 5: Solve for x
    x = 13,600,224,400/86,316
  6. Step 6: Final answer
    x = 157,563.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.