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Finding the Third Proportional to 583 and 880.06

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Solution

The third proportional to 583 and 880.06 is: 1,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583 : 880.06 = 880.06 : x
  2. Step 2: Convert to fraction form
    583/880.06 = 880.06/x
  3. Step 3: Cross multiply
    583x = 880.06 × 880.06
  4. Step 4: Simplify right side
    583x = 774,510.00
  5. Step 5: Solve for x
    x = 774,510.00/583
  6. Step 6: Final answer
    x = 1,328.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.