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Finding the Third Proportional to 91,692 and 139,411.13

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Solution

The third proportional to 91,692 and 139,411.13 is: 211,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,692 : 139,411.13 = 139,411.13 : x
  2. Step 2: Convert to fraction form
    91,692/139,411.13 = 139,411.13/x
  3. Step 3: Cross multiply
    91,692x = 139,411.13 × 139,411.13
  4. Step 4: Simplify right side
    91,692x = 19,435,461,773.77
  5. Step 5: Solve for x
    x = 19,435,461,773.77/91,692
  6. Step 6: Final answer
    x = 211,964.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.