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Finding the Third Proportional to 309,971 and 478,768

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Solution

The third proportional to 309,971 and 478,768 is: 739,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,971 : 478,768 = 478,768 : x
  2. Step 2: Convert to fraction form
    309,971/478,768 = 478,768/x
  3. Step 3: Cross multiply
    309,971x = 478,768 × 478,768
  4. Step 4: Simplify right side
    309,971x = 229,218,797,824
  5. Step 5: Solve for x
    x = 229,218,797,824/309,971
  6. Step 6: Final answer
    x = 739,484.65

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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.