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Finding the Third Proportional to 301,770 and 655,460

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Solution

The third proportional to 301,770 and 655,460 is: 1,423,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,770 : 655,460 = 655,460 : x
  2. Step 2: Convert to fraction form
    301,770/655,460 = 655,460/x
  3. Step 3: Cross multiply
    301,770x = 655,460 × 655,460
  4. Step 4: Simplify right side
    301,770x = 429,627,811,600
  5. Step 5: Solve for x
    x = 429,627,811,600/301,770
  6. Step 6: Final answer
    x = 1,423,692.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.