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Finding the Third Proportional to 436,617 and 656,545.50

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Solution

The third proportional to 436,617 and 656,545.50 is: 987,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,617 : 656,545.50 = 656,545.50 : x
  2. Step 2: Convert to fraction form
    436,617/656,545.50 = 656,545.50/x
  3. Step 3: Cross multiply
    436,617x = 656,545.50 × 656,545.50
  4. Step 4: Simplify right side
    436,617x = 431,051,993,570.25
  5. Step 5: Solve for x
    x = 431,051,993,570.25/436,617
  6. Step 6: Final answer
    x = 987,254.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.