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Finding the Third Proportional to 290,826 and 426,651

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Solution

The third proportional to 290,826 and 426,651 is: 625,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826 : 426,651 = 426,651 : x
  2. Step 2: Convert to fraction form
    290,826/426,651 = 426,651/x
  3. Step 3: Cross multiply
    290,826x = 426,651 × 426,651
  4. Step 4: Simplify right side
    290,826x = 182,031,075,801
  5. Step 5: Solve for x
    x = 182,031,075,801/290,826
  6. Step 6: Final answer
    x = 625,910.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.