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Finding the Third Proportional to 145,977.75 and 316,876.50

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Solution

The third proportional to 145,977.75 and 316,876.50 is: 687,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,977.75 : 316,876.50 = 316,876.50 : x
  2. Step 2: Convert to fraction form
    145,977.75/316,876.50 = 316,876.50/x
  3. Step 3: Cross multiply
    145,977.75x = 316,876.50 × 316,876.50
  4. Step 4: Simplify right side
    145,977.75x = 100,410,716,252.25
  5. Step 5: Solve for x
    x = 100,410,716,252.25/145,977.75
  6. Step 6: Final answer
    x = 687,849.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.