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Finding the Third Proportional to 101,490 and 144,250.50

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Solution

The third proportional to 101,490 and 144,250.50 is: 205,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,490 : 144,250.50 = 144,250.50 : x
  2. Step 2: Convert to fraction form
    101,490/144,250.50 = 144,250.50/x
  3. Step 3: Cross multiply
    101,490x = 144,250.50 × 144,250.50
  4. Step 4: Simplify right side
    101,490x = 20,808,206,750.25
  5. Step 5: Solve for x
    x = 20,808,206,750.25/101,490
  6. Step 6: Final answer
    x = 205,027.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.