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Finding the Third Proportional to 310,513 and 632,444

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Solution

The third proportional to 310,513 and 632,444 is: 1,288,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,513 : 632,444 = 632,444 : x
  2. Step 2: Convert to fraction form
    310,513/632,444 = 632,444/x
  3. Step 3: Cross multiply
    310,513x = 632,444 × 632,444
  4. Step 4: Simplify right side
    310,513x = 399,985,413,136
  5. Step 5: Solve for x
    x = 399,985,413,136/310,513
  6. Step 6: Final answer
    x = 1,288,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.