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Finding the Third Proportional to 315,196 and 478,623

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Solution

The third proportional to 315,196 and 478,623 is: 726,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,196 : 478,623 = 478,623 : x
  2. Step 2: Convert to fraction form
    315,196/478,623 = 478,623/x
  3. Step 3: Cross multiply
    315,196x = 478,623 × 478,623
  4. Step 4: Simplify right side
    315,196x = 229,079,976,129
  5. Step 5: Solve for x
    x = 229,079,976,129/315,196
  6. Step 6: Final answer
    x = 726,785.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.