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Finding the Third Proportional to 242,831.25 and 380,139.75

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Solution

The third proportional to 242,831.25 and 380,139.75 is: 595,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,831.25 : 380,139.75 = 380,139.75 : x
  2. Step 2: Convert to fraction form
    242,831.25/380,139.75 = 380,139.75/x
  3. Step 3: Cross multiply
    242,831.25x = 380,139.75 × 380,139.75
  4. Step 4: Simplify right side
    242,831.25x = 144,506,229,530.06
  5. Step 5: Solve for x
    x = 144,506,229,530.06/242,831.25
  6. Step 6: Final answer
    x = 595,089.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.