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Finding the Third Proportional to 356,228 and 510,276

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Solution

The third proportional to 356,228 and 510,276 is: 730,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,228 : 510,276 = 510,276 : x
  2. Step 2: Convert to fraction form
    356,228/510,276 = 510,276/x
  3. Step 3: Cross multiply
    356,228x = 510,276 × 510,276
  4. Step 4: Simplify right side
    356,228x = 260,381,596,176
  5. Step 5: Solve for x
    x = 260,381,596,176/356,228
  6. Step 6: Final answer
    x = 730,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.