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Finding the Third Proportional to 319,864 and 478,036

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Solution

The third proportional to 319,864 and 478,036 is: 714,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,864 : 478,036 = 478,036 : x
  2. Step 2: Convert to fraction form
    319,864/478,036 = 478,036/x
  3. Step 3: Cross multiply
    319,864x = 478,036 × 478,036
  4. Step 4: Simplify right side
    319,864x = 228,518,417,296
  5. Step 5: Solve for x
    x = 228,518,417,296/319,864
  6. Step 6: Final answer
    x = 714,423.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.