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Finding the Third Proportional to 405,619.31 and 630,552.94

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Solution

The third proportional to 405,619.31 and 630,552.94 is: 980,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,619.31 : 630,552.94 = 630,552.94 : x
  2. Step 2: Convert to fraction form
    405,619.31/630,552.94 = 630,552.94/x
  3. Step 3: Cross multiply
    405,619.31x = 630,552.94 × 630,552.94
  4. Step 4: Simplify right side
    405,619.31x = 397,597,006,989.88
  5. Step 5: Solve for x
    x = 397,597,006,989.88/405,619.31
  6. Step 6: Final answer
    x = 980,222.08

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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.