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Finding the Third Proportional to 53,217 and 86,518.13

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Solution

The third proportional to 53,217 and 86,518.13 is: 140,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217 : 86,518.13 = 86,518.13 : x
  2. Step 2: Convert to fraction form
    53,217/86,518.13 = 86,518.13/x
  3. Step 3: Cross multiply
    53,217x = 86,518.13 × 86,518.13
  4. Step 4: Simplify right side
    53,217x = 7,485,385,953.52
  5. Step 5: Solve for x
    x = 7,485,385,953.52/53,217
  6. Step 6: Final answer
    x = 140,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.