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Finding the Third Proportional to 355,669 and 632,391

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Solution

The third proportional to 355,669 and 632,391 is: 1,124,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,669 : 632,391 = 632,391 : x
  2. Step 2: Convert to fraction form
    355,669/632,391 = 632,391/x
  3. Step 3: Cross multiply
    355,669x = 632,391 × 632,391
  4. Step 4: Simplify right side
    355,669x = 399,918,376,881
  5. Step 5: Solve for x
    x = 399,918,376,881/355,669
  6. Step 6: Final answer
    x = 1,124,411.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.