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Finding the Third Proportional to 1,470 and 2,285.75

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Solution

The third proportional to 1,470 and 2,285.75 is: 3,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470 : 2,285.75 = 2,285.75 : x
  2. Step 2: Convert to fraction form
    1,470/2,285.75 = 2,285.75/x
  3. Step 3: Cross multiply
    1,470x = 2,285.75 × 2,285.75
  4. Step 4: Simplify right side
    1,470x = 5,224,653.06
  5. Step 5: Solve for x
    x = 5,224,653.06/1,470
  6. Step 6: Final answer
    x = 3,554.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.