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Finding the Third Proportional to 202,146 and 309,370.50

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Solution

The third proportional to 202,146 and 309,370.50 is: 473,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146 : 309,370.50 = 309,370.50 : x
  2. Step 2: Convert to fraction form
    202,146/309,370.50 = 309,370.50/x
  3. Step 3: Cross multiply
    202,146x = 309,370.50 × 309,370.50
  4. Step 4: Simplify right side
    202,146x = 95,710,106,270.25
  5. Step 5: Solve for x
    x = 95,710,106,270.25/202,146
  6. Step 6: Final answer
    x = 473,470.20

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Why These Related Problems?

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