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Finding the Third Proportional to 156,451 and 336,490

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Solution

The third proportional to 156,451 and 336,490 is: 723,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,451 : 336,490 = 336,490 : x
  2. Step 2: Convert to fraction form
    156,451/336,490 = 336,490/x
  3. Step 3: Cross multiply
    156,451x = 336,490 × 336,490
  4. Step 4: Simplify right side
    156,451x = 113,225,520,100
  5. Step 5: Solve for x
    x = 113,225,520,100/156,451
  6. Step 6: Final answer
    x = 723,712.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.