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Finding the Third Proportional to 290,870 and 426,729

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Solution

The third proportional to 290,870 and 426,729 is: 626,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,870 : 426,729 = 426,729 : x
  2. Step 2: Convert to fraction form
    290,870/426,729 = 426,729/x
  3. Step 3: Cross multiply
    290,870x = 426,729 × 426,729
  4. Step 4: Simplify right side
    290,870x = 182,097,639,441
  5. Step 5: Solve for x
    x = 182,097,639,441/290,870
  6. Step 6: Final answer
    x = 626,044.76

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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.