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Finding the Third Proportional to 297,070 and 636,209

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Solution

The third proportional to 297,070 and 636,209 is: 1,362,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,070 : 636,209 = 636,209 : x
  2. Step 2: Convert to fraction form
    297,070/636,209 = 636,209/x
  3. Step 3: Cross multiply
    297,070x = 636,209 × 636,209
  4. Step 4: Simplify right side
    297,070x = 404,761,891,681
  5. Step 5: Solve for x
    x = 404,761,891,681/297,070
  6. Step 6: Final answer
    x = 1,362,513.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.