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Finding the Third Proportional to 242,708.53 and 528,028.13

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Solution

The third proportional to 242,708.53 and 528,028.13 is: 1,148,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,708.53 : 528,028.13 = 528,028.13 : x
  2. Step 2: Convert to fraction form
    242,708.53/528,028.13 = 528,028.13/x
  3. Step 3: Cross multiply
    242,708.53x = 528,028.13 × 528,028.13
  4. Step 4: Simplify right side
    242,708.53x = 278,813,700,791.02
  5. Step 5: Solve for x
    x = 278,813,700,791.02/242,708.53
  6. Step 6: Final answer
    x = 1,148,759.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.