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Finding the Third Proportional to 312,122 and 736,349

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Solution

The third proportional to 312,122 and 736,349 is: 1,737,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,122 : 736,349 = 736,349 : x
  2. Step 2: Convert to fraction form
    312,122/736,349 = 736,349/x
  3. Step 3: Cross multiply
    312,122x = 736,349 × 736,349
  4. Step 4: Simplify right side
    312,122x = 542,209,849,801
  5. Step 5: Solve for x
    x = 542,209,849,801/312,122
  6. Step 6: Final answer
    x = 1,737,172.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.