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Finding the Third Proportional to 53,190 and 78,057

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Solution

The third proportional to 53,190 and 78,057 is: 114,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190 : 78,057 = 78,057 : x
  2. Step 2: Convert to fraction form
    53,190/78,057 = 78,057/x
  3. Step 3: Cross multiply
    53,190x = 78,057 × 78,057
  4. Step 4: Simplify right side
    53,190x = 6,092,895,249
  5. Step 5: Solve for x
    x = 6,092,895,249/53,190
  6. Step 6: Final answer
    x = 114,549.64

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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.