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Finding the Third Proportional to 431,788 and 677,263.50

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Solution

The third proportional to 431,788 and 677,263.50 is: 1,062,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,788 : 677,263.50 = 677,263.50 : x
  2. Step 2: Convert to fraction form
    431,788/677,263.50 = 677,263.50/x
  3. Step 3: Cross multiply
    431,788x = 677,263.50 × 677,263.50
  4. Step 4: Simplify right side
    431,788x = 458,685,848,432.25
  5. Step 5: Solve for x
    x = 458,685,848,432.25/431,788
  6. Step 6: Final answer
    x = 1,062,294.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.