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Finding the Third Proportional to 106,088 and 139,432

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Solution

The third proportional to 106,088 and 139,432 is: 183,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,088 : 139,432 = 139,432 : x
  2. Step 2: Convert to fraction form
    106,088/139,432 = 139,432/x
  3. Step 3: Cross multiply
    106,088x = 139,432 × 139,432
  4. Step 4: Simplify right side
    106,088x = 19,441,282,624
  5. Step 5: Solve for x
    x = 19,441,282,624/106,088
  6. Step 6: Final answer
    x = 183,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.