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Finding the Third Proportional to 315,966.45 and 513,335.60

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Solution

The third proportional to 315,966.45 and 513,335.60 is: 833,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,966.45 : 513,335.60 = 513,335.60 : x
  2. Step 2: Convert to fraction form
    315,966.45/513,335.60 = 513,335.60/x
  3. Step 3: Cross multiply
    315,966.45x = 513,335.60 × 513,335.60
  4. Step 4: Simplify right side
    315,966.45x = 263,513,439,831.53
  5. Step 5: Solve for x
    x = 263,513,439,831.53/315,966.45
  6. Step 6: Final answer
    x = 833,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.