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Finding the Third Proportional to 290,883 and 426,748

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Solution

The third proportional to 290,883 and 426,748 is: 626,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,883 : 426,748 = 426,748 : x
  2. Step 2: Convert to fraction form
    290,883/426,748 = 426,748/x
  3. Step 3: Cross multiply
    290,883x = 426,748 × 426,748
  4. Step 4: Simplify right side
    290,883x = 182,113,855,504
  5. Step 5: Solve for x
    x = 182,113,855,504/290,883
  6. Step 6: Final answer
    x = 626,072.53

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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.