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Finding the Third Proportional to 250,915 and 357,689

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Solution

The third proportional to 250,915 and 357,689 is: 509,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,915 : 357,689 = 357,689 : x
  2. Step 2: Convert to fraction form
    250,915/357,689 = 357,689/x
  3. Step 3: Cross multiply
    250,915x = 357,689 × 357,689
  4. Step 4: Simplify right side
    250,915x = 127,941,420,721
  5. Step 5: Solve for x
    x = 127,941,420,721/250,915
  6. Step 6: Final answer
    x = 509,899.45

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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.