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Finding the Third Proportional to 405,816.75 and 630,829.13

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Solution

The third proportional to 405,816.75 and 630,829.13 is: 980,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,816.75 : 630,829.13 = 630,829.13 : x
  2. Step 2: Convert to fraction form
    405,816.75/630,829.13 = 630,829.13/x
  3. Step 3: Cross multiply
    405,816.75x = 630,829.13 × 630,829.13
  4. Step 4: Simplify right side
    405,816.75x = 397,945,384,948.27
  5. Step 5: Solve for x
    x = 397,945,384,948.27/405,816.75
  6. Step 6: Final answer
    x = 980,603.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.