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Finding the Third Proportional to 289,138 and 626,543

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Solution

The third proportional to 289,138 and 626,543 is: 1,357,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138 : 626,543 = 626,543 : x
  2. Step 2: Convert to fraction form
    289,138/626,543 = 626,543/x
  3. Step 3: Cross multiply
    289,138x = 626,543 × 626,543
  4. Step 4: Simplify right side
    289,138x = 392,556,130,849
  5. Step 5: Solve for x
    x = 392,556,130,849/289,138
  6. Step 6: Final answer
    x = 1,357,677.41

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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.