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Finding the Third Proportional to 357,408 and 785,892

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Solution

The third proportional to 357,408 and 785,892 is: 1,728,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,408 : 785,892 = 785,892 : x
  2. Step 2: Convert to fraction form
    357,408/785,892 = 785,892/x
  3. Step 3: Cross multiply
    357,408x = 785,892 × 785,892
  4. Step 4: Simplify right side
    357,408x = 617,626,235,664
  5. Step 5: Solve for x
    x = 617,626,235,664/357,408
  6. Step 6: Final answer
    x = 1,728,070.54

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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.