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Finding the Third Proportional to 355,126 and 478,466

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Solution

The third proportional to 355,126 and 478,466 is: 644,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,126 : 478,466 = 478,466 : x
  2. Step 2: Convert to fraction form
    355,126/478,466 = 478,466/x
  3. Step 3: Cross multiply
    355,126x = 478,466 × 478,466
  4. Step 4: Simplify right side
    355,126x = 228,929,713,156
  5. Step 5: Solve for x
    x = 228,929,713,156/355,126
  6. Step 6: Final answer
    x = 644,643.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.