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Finding the Third Proportional to 380,988.64 and 522,439.20

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Solution

The third proportional to 380,988.64 and 522,439.20 is: 716,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,988.64 : 522,439.20 = 522,439.20 : x
  2. Step 2: Convert to fraction form
    380,988.64/522,439.20 = 522,439.20/x
  3. Step 3: Cross multiply
    380,988.64x = 522,439.20 × 522,439.20
  4. Step 4: Simplify right side
    380,988.64x = 272,942,720,451.67
  5. Step 5: Solve for x
    x = 272,942,720,451.67/380,988.64
  6. Step 6: Final answer
    x = 716,406.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.