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Finding the Third Proportional to 306,562 and 478,468

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Solution

The third proportional to 306,562 and 478,468 is: 746,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,562 : 478,468 = 478,468 : x
  2. Step 2: Convert to fraction form
    306,562/478,468 = 478,468/x
  3. Step 3: Cross multiply
    306,562x = 478,468 × 478,468
  4. Step 4: Simplify right side
    306,562x = 228,931,627,024
  5. Step 5: Solve for x
    x = 228,931,627,024/306,562
  6. Step 6: Final answer
    x = 746,771.05

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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.