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Finding the Third Proportional to 319,860 and 478,030

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Solution

The third proportional to 319,860 and 478,030 is: 714,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,860 : 478,030 = 478,030 : x
  2. Step 2: Convert to fraction form
    319,860/478,030 = 478,030/x
  3. Step 3: Cross multiply
    319,860x = 478,030 × 478,030
  4. Step 4: Simplify right side
    319,860x = 228,512,680,900
  5. Step 5: Solve for x
    x = 228,512,680,900/319,860
  6. Step 6: Final answer
    x = 714,414.68

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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.