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Finding the Third Proportional to 319,568 and 501,280

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Solution

The third proportional to 319,568 and 501,280 is: 786,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,568 : 501,280 = 501,280 : x
  2. Step 2: Convert to fraction form
    319,568/501,280 = 501,280/x
  3. Step 3: Cross multiply
    319,568x = 501,280 × 501,280
  4. Step 4: Simplify right side
    319,568x = 251,281,638,400
  5. Step 5: Solve for x
    x = 251,281,638,400/319,568
  6. Step 6: Final answer
    x = 786,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.