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Finding the Third Proportional to 74,028 and 105,506

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Solution

The third proportional to 74,028 and 105,506 is: 150,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,028 : 105,506 = 105,506 : x
  2. Step 2: Convert to fraction form
    74,028/105,506 = 105,506/x
  3. Step 3: Cross multiply
    74,028x = 105,506 × 105,506
  4. Step 4: Simplify right side
    74,028x = 11,131,516,036
  5. Step 5: Solve for x
    x = 11,131,516,036/74,028
  6. Step 6: Final answer
    x = 150,369.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.