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Finding the Third Proportional to 238,831.50 and 348,400.50

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Solution

The third proportional to 238,831.50 and 348,400.50 is: 508,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,831.50 : 348,400.50 = 348,400.50 : x
  2. Step 2: Convert to fraction form
    238,831.50/348,400.50 = 348,400.50/x
  3. Step 3: Cross multiply
    238,831.50x = 348,400.50 × 348,400.50
  4. Step 4: Simplify right side
    238,831.50x = 121,382,908,400.25
  5. Step 5: Solve for x
    x = 121,382,908,400.25/238,831.50
  6. Step 6: Final answer
    x = 508,236.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.