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Finding the Third Proportional to 639,913.50 and 963,920.25

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Solution

The third proportional to 639,913.50 and 963,920.25 is: 1,451,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,913.50 : 963,920.25 = 963,920.25 : x
  2. Step 2: Convert to fraction form
    639,913.50/963,920.25 = 963,920.25/x
  3. Step 3: Cross multiply
    639,913.50x = 963,920.25 × 963,920.25
  4. Step 4: Simplify right side
    639,913.50x = 929,142,248,360.06
  5. Step 5: Solve for x
    x = 929,142,248,360.06/639,913.50
  6. Step 6: Final answer
    x = 1,451,981.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.