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Finding the Third Proportional to 371,818 and 525,651

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Solution

The third proportional to 371,818 and 525,651 is: 743,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,818 : 525,651 = 525,651 : x
  2. Step 2: Convert to fraction form
    371,818/525,651 = 525,651/x
  3. Step 3: Cross multiply
    371,818x = 525,651 × 525,651
  4. Step 4: Simplify right side
    371,818x = 276,308,973,801
  5. Step 5: Solve for x
    x = 276,308,973,801/371,818
  6. Step 6: Final answer
    x = 743,129.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.