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Finding the Third Proportional to 306,546 and 478,445

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Solution

The third proportional to 306,546 and 478,445 is: 746,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,546 : 478,445 = 478,445 : x
  2. Step 2: Convert to fraction form
    306,546/478,445 = 478,445/x
  3. Step 3: Cross multiply
    306,546x = 478,445 × 478,445
  4. Step 4: Simplify right side
    306,546x = 228,909,618,025
  5. Step 5: Solve for x
    x = 228,909,618,025/306,546
  6. Step 6: Final answer
    x = 746,738.23

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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.