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Finding the Third Proportional to 297,300 and 653,640

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Solution

The third proportional to 297,300 and 653,640 is: 1,437,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,300 : 653,640 = 653,640 : x
  2. Step 2: Convert to fraction form
    297,300/653,640 = 653,640/x
  3. Step 3: Cross multiply
    297,300x = 653,640 × 653,640
  4. Step 4: Simplify right side
    297,300x = 427,245,249,600
  5. Step 5: Solve for x
    x = 427,245,249,600/297,300
  6. Step 6: Final answer
    x = 1,437,084.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.