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Finding the Third Proportional to 289,190 and 626,764

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Solution

The third proportional to 289,190 and 626,764 is: 1,358,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,190 : 626,764 = 626,764 : x
  2. Step 2: Convert to fraction form
    289,190/626,764 = 626,764/x
  3. Step 3: Cross multiply
    289,190x = 626,764 × 626,764
  4. Step 4: Simplify right side
    289,190x = 392,833,111,696
  5. Step 5: Solve for x
    x = 392,833,111,696/289,190
  6. Step 6: Final answer
    x = 1,358,391.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.