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Finding the Third Proportional to 289,328 and 626,768

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Solution

The third proportional to 289,328 and 626,768 is: 1,357,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328 : 626,768 = 626,768 : x
  2. Step 2: Convert to fraction form
    289,328/626,768 = 626,768/x
  3. Step 3: Cross multiply
    289,328x = 626,768 × 626,768
  4. Step 4: Simplify right side
    289,328x = 392,838,125,824
  5. Step 5: Solve for x
    x = 392,838,125,824/289,328
  6. Step 6: Final answer
    x = 1,357,760.49

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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.