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Finding the Third Proportional to 74,710.50 and 114,336

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Solution

The third proportional to 74,710.50 and 114,336 is: 174,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,710.50 : 114,336 = 114,336 : x
  2. Step 2: Convert to fraction form
    74,710.50/114,336 = 114,336/x
  3. Step 3: Cross multiply
    74,710.50x = 114,336 × 114,336
  4. Step 4: Simplify right side
    74,710.50x = 13,072,720,896
  5. Step 5: Solve for x
    x = 13,072,720,896/74,710.50
  6. Step 6: Final answer
    x = 174,978.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.