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Finding the Third Proportional to 297,069 and 618,618

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Solution

The third proportional to 297,069 and 618,618 is: 1,288,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,069 : 618,618 = 618,618 : x
  2. Step 2: Convert to fraction form
    297,069/618,618 = 618,618/x
  3. Step 3: Cross multiply
    297,069x = 618,618 × 618,618
  4. Step 4: Simplify right side
    297,069x = 382,688,229,924
  5. Step 5: Solve for x
    x = 382,688,229,924/297,069
  6. Step 6: Final answer
    x = 1,288,213.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.