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Finding the Third Proportional to 145,831.13 and 238,127.63

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Solution

The third proportional to 145,831.13 and 238,127.63 is: 388,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,831.13 : 238,127.63 = 238,127.63 : x
  2. Step 2: Convert to fraction form
    145,831.13/238,127.63 = 238,127.63/x
  3. Step 3: Cross multiply
    145,831.13x = 238,127.63 × 238,127.63
  4. Step 4: Simplify right side
    145,831.13x = 56,704,765,788.14
  5. Step 5: Solve for x
    x = 56,704,765,788.14/145,831.13
  6. Step 6: Final answer
    x = 388,838.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.