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Finding the Third Proportional to 53,831.25 and 77,058

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Solution

The third proportional to 53,831.25 and 77,058 is: 110,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831.25 : 77,058 = 77,058 : x
  2. Step 2: Convert to fraction form
    53,831.25/77,058 = 77,058/x
  3. Step 3: Cross multiply
    53,831.25x = 77,058 × 77,058
  4. Step 4: Simplify right side
    53,831.25x = 5,937,935,364
  5. Step 5: Solve for x
    x = 5,937,935,364/53,831.25
  6. Step 6: Final answer
    x = 110,306.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.