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Finding the Third Proportional to 306,510 and 478,397

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Solution

The third proportional to 306,510 and 478,397 is: 746,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,510 : 478,397 = 478,397 : x
  2. Step 2: Convert to fraction form
    306,510/478,397 = 478,397/x
  3. Step 3: Cross multiply
    306,510x = 478,397 × 478,397
  4. Step 4: Simplify right side
    306,510x = 228,863,689,609
  5. Step 5: Solve for x
    x = 228,863,689,609/306,510
  6. Step 6: Final answer
    x = 746,676.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.