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Finding the Third Proportional to 355,122 and 478,461

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Solution

The third proportional to 355,122 and 478,461 is: 644,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,122 : 478,461 = 478,461 : x
  2. Step 2: Convert to fraction form
    355,122/478,461 = 478,461/x
  3. Step 3: Cross multiply
    355,122x = 478,461 × 478,461
  4. Step 4: Simplify right side
    355,122x = 228,924,928,521
  5. Step 5: Solve for x
    x = 228,924,928,521/355,122
  6. Step 6: Final answer
    x = 644,637.42

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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.