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Finding the Third Proportional to 341,485 and 501,156

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Solution

The third proportional to 341,485 and 501,156 is: 735,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,485 : 501,156 = 501,156 : x
  2. Step 2: Convert to fraction form
    341,485/501,156 = 501,156/x
  3. Step 3: Cross multiply
    341,485x = 501,156 × 501,156
  4. Step 4: Simplify right side
    341,485x = 251,157,336,336
  5. Step 5: Solve for x
    x = 251,157,336,336/341,485
  6. Step 6: Final answer
    x = 735,485.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.