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Finding the Third Proportional to 152,410 and 325,836.50

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Solution

The third proportional to 152,410 and 325,836.50 is: 696,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,410 : 325,836.50 = 325,836.50 : x
  2. Step 2: Convert to fraction form
    152,410/325,836.50 = 325,836.50/x
  3. Step 3: Cross multiply
    152,410x = 325,836.50 × 325,836.50
  4. Step 4: Simplify right side
    152,410x = 106,169,424,732.25
  5. Step 5: Solve for x
    x = 106,169,424,732.25/152,410
  6. Step 6: Final answer
    x = 696,604.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.