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Finding the Third Proportional to 407,040 and 632,640

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Solution

The third proportional to 407,040 and 632,640 is: 983,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,040 : 632,640 = 632,640 : x
  2. Step 2: Convert to fraction form
    407,040/632,640 = 632,640/x
  3. Step 3: Cross multiply
    407,040x = 632,640 × 632,640
  4. Step 4: Simplify right side
    407,040x = 400,233,369,600
  5. Step 5: Solve for x
    x = 400,233,369,600/407,040
  6. Step 6: Final answer
    x = 983,277.74

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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.