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Finding the Third Proportional to 202,485 and 302,088

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Solution

The third proportional to 202,485 and 302,088 is: 450,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,485 : 302,088 = 302,088 : x
  2. Step 2: Convert to fraction form
    202,485/302,088 = 302,088/x
  3. Step 3: Cross multiply
    202,485x = 302,088 × 302,088
  4. Step 4: Simplify right side
    202,485x = 91,257,159,744
  5. Step 5: Solve for x
    x = 91,257,159,744/202,485
  6. Step 6: Final answer
    x = 450,686.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.