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Finding the Third Proportional to 308,407 and 474,646

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Solution

The third proportional to 308,407 and 474,646 is: 730,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,407 : 474,646 = 474,646 : x
  2. Step 2: Convert to fraction form
    308,407/474,646 = 474,646/x
  3. Step 3: Cross multiply
    308,407x = 474,646 × 474,646
  4. Step 4: Simplify right side
    308,407x = 225,288,825,316
  5. Step 5: Solve for x
    x = 225,288,825,316/308,407
  6. Step 6: Final answer
    x = 730,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.