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Finding the Third Proportional to 53,646.50 and 78,827

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Solution

The third proportional to 53,646.50 and 78,827 is: 115,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,646.50 : 78,827 = 78,827 : x
  2. Step 2: Convert to fraction form
    53,646.50/78,827 = 78,827/x
  3. Step 3: Cross multiply
    53,646.50x = 78,827 × 78,827
  4. Step 4: Simplify right side
    53,646.50x = 6,213,695,929
  5. Step 5: Solve for x
    x = 6,213,695,929/53,646.50
  6. Step 6: Final answer
    x = 115,826.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.