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Finding the Third Proportional to 611,631 and 731,551.50

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Solution

The third proportional to 611,631 and 731,551.50 is: 874,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,631 : 731,551.50 = 731,551.50 : x
  2. Step 2: Convert to fraction form
    611,631/731,551.50 = 731,551.50/x
  3. Step 3: Cross multiply
    611,631x = 731,551.50 × 731,551.50
  4. Step 4: Simplify right side
    611,631x = 535,167,597,152.25
  5. Step 5: Solve for x
    x = 535,167,597,152.25/611,631
  6. Step 6: Final answer
    x = 874,984.42

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.