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Finding the Third Proportional to 289,132 and 626,532

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Solution

The third proportional to 289,132 and 626,532 is: 1,357,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132 : 626,532 = 626,532 : x
  2. Step 2: Convert to fraction form
    289,132/626,532 = 626,532/x
  3. Step 3: Cross multiply
    289,132x = 626,532 × 626,532
  4. Step 4: Simplify right side
    289,132x = 392,542,347,024
  5. Step 5: Solve for x
    x = 392,542,347,024/289,132
  6. Step 6: Final answer
    x = 1,357,657.91

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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.