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Finding the Third Proportional to 149,263.25 and 315,373.50

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Solution

The third proportional to 149,263.25 and 315,373.50 is: 666,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,263.25 : 315,373.50 = 315,373.50 : x
  2. Step 2: Convert to fraction form
    149,263.25/315,373.50 = 315,373.50/x
  3. Step 3: Cross multiply
    149,263.25x = 315,373.50 × 315,373.50
  4. Step 4: Simplify right side
    149,263.25x = 99,460,444,502.25
  5. Step 5: Solve for x
    x = 99,460,444,502.25/149,263.25
  6. Step 6: Final answer
    x = 666,342.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.