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Finding the Third Proportional to 452,578.50 and 623,430.75

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Solution

The third proportional to 452,578.50 and 623,430.75 is: 858,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,578.50 : 623,430.75 = 623,430.75 : x
  2. Step 2: Convert to fraction form
    452,578.50/623,430.75 = 623,430.75/x
  3. Step 3: Cross multiply
    452,578.50x = 623,430.75 × 623,430.75
  4. Step 4: Simplify right side
    452,578.50x = 388,665,900,045.56
  5. Step 5: Solve for x
    x = 388,665,900,045.56/452,578.50
  6. Step 6: Final answer
    x = 858,781.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.