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Finding the Third Proportional to 405,681.75 and 630,639

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Solution

The third proportional to 405,681.75 and 630,639 is: 980,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,681.75 : 630,639 = 630,639 : x
  2. Step 2: Convert to fraction form
    405,681.75/630,639 = 630,639/x
  3. Step 3: Cross multiply
    405,681.75x = 630,639 × 630,639
  4. Step 4: Simplify right side
    405,681.75x = 397,705,548,321
  5. Step 5: Solve for x
    x = 397,705,548,321/405,681.75
  6. Step 6: Final answer
    x = 980,338.77

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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.