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Finding the Third Proportional to 143,618.70 and 312,501.80

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Solution

The third proportional to 143,618.70 and 312,501.80 is: 679,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,618.70 : 312,501.80 = 312,501.80 : x
  2. Step 2: Convert to fraction form
    143,618.70/312,501.80 = 312,501.80/x
  3. Step 3: Cross multiply
    143,618.70x = 312,501.80 × 312,501.80
  4. Step 4: Simplify right side
    143,618.70x = 97,657,373,050.10
  5. Step 5: Solve for x
    x = 97,657,373,050.10/143,618.70
  6. Step 6: Final answer
    x = 679,976.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.