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Finding the Third Proportional to 53,590 and 78,835

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Solution

The third proportional to 53,590 and 78,835 is: 115,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,590 : 78,835 = 78,835 : x
  2. Step 2: Convert to fraction form
    53,590/78,835 = 78,835/x
  3. Step 3: Cross multiply
    53,590x = 78,835 × 78,835
  4. Step 4: Simplify right side
    53,590x = 6,214,957,225
  5. Step 5: Solve for x
    x = 6,214,957,225/53,590
  6. Step 6: Final answer
    x = 115,972.33

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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.