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Finding the Third Proportional to 356,220 and 510,264

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Solution

The third proportional to 356,220 and 510,264 is: 730,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,220 : 510,264 = 510,264 : x
  2. Step 2: Convert to fraction form
    356,220/510,264 = 510,264/x
  3. Step 3: Cross multiply
    356,220x = 510,264 × 510,264
  4. Step 4: Simplify right side
    356,220x = 260,369,349,696
  5. Step 5: Solve for x
    x = 260,369,349,696/356,220
  6. Step 6: Final answer
    x = 730,922.88

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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.