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Finding the Third Proportional to 279,506 and 442,803

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Solution

The third proportional to 279,506 and 442,803 is: 701,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,506 : 442,803 = 442,803 : x
  2. Step 2: Convert to fraction form
    279,506/442,803 = 442,803/x
  3. Step 3: Cross multiply
    279,506x = 442,803 × 442,803
  4. Step 4: Simplify right side
    279,506x = 196,074,496,809
  5. Step 5: Solve for x
    x = 196,074,496,809/279,506
  6. Step 6: Final answer
    x = 701,503.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.