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Finding the Third Proportional to 74,616.19 and 153,120.38

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Solution

The third proportional to 74,616.19 and 153,120.38 is: 314,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,616.19 : 153,120.38 = 153,120.38 : x
  2. Step 2: Convert to fraction form
    74,616.19/153,120.38 = 153,120.38/x
  3. Step 3: Cross multiply
    74,616.19x = 153,120.38 × 153,120.38
  4. Step 4: Simplify right side
    74,616.19x = 23,445,849,240.14
  5. Step 5: Solve for x
    x = 23,445,849,240.14/74,616.19
  6. Step 6: Final answer
    x = 314,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.