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Finding the Third Proportional to 405,817.88 and 630,831.38

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Solution

The third proportional to 405,817.88 and 630,831.38 is: 980,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,817.88 : 630,831.38 = 630,831.38 : x
  2. Step 2: Convert to fraction form
    405,817.88/630,831.38 = 630,831.38/x
  3. Step 3: Cross multiply
    405,817.88x = 630,831.38 × 630,831.38
  4. Step 4: Simplify right side
    405,817.88x = 397,948,223,684.39
  5. Step 5: Solve for x
    x = 397,948,223,684.39/405,817.88
  6. Step 6: Final answer
    x = 980,607.92

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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.