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Finding the Third Proportional to 77,418 and 109,024

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Solution

The third proportional to 77,418 and 109,024 is: 153,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418 : 109,024 = 109,024 : x
  2. Step 2: Convert to fraction form
    77,418/109,024 = 109,024/x
  3. Step 3: Cross multiply
    77,418x = 109,024 × 109,024
  4. Step 4: Simplify right side
    77,418x = 11,886,232,576
  5. Step 5: Solve for x
    x = 11,886,232,576/77,418
  6. Step 6: Final answer
    x = 153,533.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.