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Finding the Third Proportional to 366,947 and 607,309

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Solution

The third proportional to 366,947 and 607,309 is: 1,005,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 607,309 = 607,309 : x
  2. Step 2: Convert to fraction form
    366,947/607,309 = 607,309/x
  3. Step 3: Cross multiply
    366,947x = 607,309 × 607,309
  4. Step 4: Simplify right side
    366,947x = 368,824,221,481
  5. Step 5: Solve for x
    x = 368,824,221,481/366,947
  6. Step 6: Final answer
    x = 1,005,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.