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Finding the Third Proportional to 314,337 and 643,200

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Solution

The third proportional to 314,337 and 643,200 is: 1,316,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337 : 643,200 = 643,200 : x
  2. Step 2: Convert to fraction form
    314,337/643,200 = 643,200/x
  3. Step 3: Cross multiply
    314,337x = 643,200 × 643,200
  4. Step 4: Simplify right side
    314,337x = 413,706,240,000
  5. Step 5: Solve for x
    x = 413,706,240,000/314,337
  6. Step 6: Final answer
    x = 1,316,123.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.