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Finding the Third Proportional to 426,834 and 643,065.75

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Solution

The third proportional to 426,834 and 643,065.75 is: 968,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,834 : 643,065.75 = 643,065.75 : x
  2. Step 2: Convert to fraction form
    426,834/643,065.75 = 643,065.75/x
  3. Step 3: Cross multiply
    426,834x = 643,065.75 × 643,065.75
  4. Step 4: Simplify right side
    426,834x = 413,533,558,823.06
  5. Step 5: Solve for x
    x = 413,533,558,823.06/426,834
  6. Step 6: Final answer
    x = 968,839.31

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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.