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Finding the Third Proportional to 408,602 and 630,135

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Solution

The third proportional to 408,602 and 630,135 is: 971,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,602 : 630,135 = 630,135 : x
  2. Step 2: Convert to fraction form
    408,602/630,135 = 630,135/x
  3. Step 3: Cross multiply
    408,602x = 630,135 × 630,135
  4. Step 4: Simplify right side
    408,602x = 397,070,118,225
  5. Step 5: Solve for x
    x = 397,070,118,225/408,602
  6. Step 6: Final answer
    x = 971,777.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.