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Finding the Third Proportional to 315,856.50 and 687,052.50

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Solution

The third proportional to 315,856.50 and 687,052.50 is: 1,494,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,856.50 : 687,052.50 = 687,052.50 : x
  2. Step 2: Convert to fraction form
    315,856.50/687,052.50 = 687,052.50/x
  3. Step 3: Cross multiply
    315,856.50x = 687,052.50 × 687,052.50
  4. Step 4: Simplify right side
    315,856.50x = 472,041,137,756.25
  5. Step 5: Solve for x
    x = 472,041,137,756.25/315,856.50
  6. Step 6: Final answer
    x = 1,494,479.73

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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.