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Finding the Third Proportional to 62,420.25 and 136,518.38

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Solution

The third proportional to 62,420.25 and 136,518.38 is: 298,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,420.25 : 136,518.38 = 136,518.38 : x
  2. Step 2: Convert to fraction form
    62,420.25/136,518.38 = 136,518.38/x
  3. Step 3: Cross multiply
    62,420.25x = 136,518.38 × 136,518.38
  4. Step 4: Simplify right side
    62,420.25x = 18,637,266,712.64
  5. Step 5: Solve for x
    x = 18,637,266,712.64/62,420.25
  6. Step 6: Final answer
    x = 298,577.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.