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Finding the Third Proportional to 142,929.56 and 315,246.94

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Solution

The third proportional to 142,929.56 and 315,246.94 is: 695,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,929.56 : 315,246.94 = 315,246.94 : x
  2. Step 2: Convert to fraction form
    142,929.56/315,246.94 = 315,246.94/x
  3. Step 3: Cross multiply
    142,929.56x = 315,246.94 × 315,246.94
  4. Step 4: Simplify right side
    142,929.56x = 99,380,631,603.13
  5. Step 5: Solve for x
    x = 99,380,631,603.13/142,929.56
  6. Step 6: Final answer
    x = 695,311.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.