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Finding the Third Proportional to 426,304 and 643,883.50

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Solution

The third proportional to 426,304 and 643,883.50 is: 972,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,304 : 643,883.50 = 643,883.50 : x
  2. Step 2: Convert to fraction form
    426,304/643,883.50 = 643,883.50/x
  3. Step 3: Cross multiply
    426,304x = 643,883.50 × 643,883.50
  4. Step 4: Simplify right side
    426,304x = 414,585,961,572.25
  5. Step 5: Solve for x
    x = 414,585,961,572.25/426,304
  6. Step 6: Final answer
    x = 972,512.48

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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.