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Finding the Third Proportional to 202,410 and 297,052.50

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Solution

The third proportional to 202,410 and 297,052.50 is: 435,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,410 : 297,052.50 = 297,052.50 : x
  2. Step 2: Convert to fraction form
    202,410/297,052.50 = 297,052.50/x
  3. Step 3: Cross multiply
    202,410x = 297,052.50 × 297,052.50
  4. Step 4: Simplify right side
    202,410x = 88,240,187,756.25
  5. Step 5: Solve for x
    x = 88,240,187,756.25/202,410
  6. Step 6: Final answer
    x = 435,947.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.