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Finding the Third Proportional to 302,421 and 659,274

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Solution

The third proportional to 302,421 and 659,274 is: 1,437,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,421 : 659,274 = 659,274 : x
  2. Step 2: Convert to fraction form
    302,421/659,274 = 659,274/x
  3. Step 3: Cross multiply
    302,421x = 659,274 × 659,274
  4. Step 4: Simplify right side
    302,421x = 434,642,207,076
  5. Step 5: Solve for x
    x = 434,642,207,076/302,421
  6. Step 6: Final answer
    x = 1,437,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.