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Finding the Third Proportional to 86,964 and 138,334.50

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Solution

The third proportional to 86,964 and 138,334.50 is: 220,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,964 : 138,334.50 = 138,334.50 : x
  2. Step 2: Convert to fraction form
    86,964/138,334.50 = 138,334.50/x
  3. Step 3: Cross multiply
    86,964x = 138,334.50 × 138,334.50
  4. Step 4: Simplify right side
    86,964x = 19,136,433,890.25
  5. Step 5: Solve for x
    x = 19,136,433,890.25/86,964
  6. Step 6: Final answer
    x = 220,050.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.