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Finding the Third Proportional to 391,559 and 623,051.50

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Solution

The third proportional to 391,559 and 623,051.50 is: 991,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,559 : 623,051.50 = 623,051.50 : x
  2. Step 2: Convert to fraction form
    391,559/623,051.50 = 623,051.50/x
  3. Step 3: Cross multiply
    391,559x = 623,051.50 × 623,051.50
  4. Step 4: Simplify right side
    391,559x = 388,193,171,652.25
  5. Step 5: Solve for x
    x = 388,193,171,652.25/391,559
  6. Step 6: Final answer
    x = 991,404.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.