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Finding the Third Proportional to 250,803 and 392,850

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Solution

The third proportional to 250,803 and 392,850 is: 615,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,803 : 392,850 = 392,850 : x
  2. Step 2: Convert to fraction form
    250,803/392,850 = 392,850/x
  3. Step 3: Cross multiply
    250,803x = 392,850 × 392,850
  4. Step 4: Simplify right side
    250,803x = 154,331,122,500
  5. Step 5: Solve for x
    x = 154,331,122,500/250,803
  6. Step 6: Final answer
    x = 615,347.99

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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.