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Finding the Third Proportional to 366,430 and 807,401

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Solution

The third proportional to 366,430 and 807,401 is: 1,779,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,430 : 807,401 = 807,401 : x
  2. Step 2: Convert to fraction form
    366,430/807,401 = 807,401/x
  3. Step 3: Cross multiply
    366,430x = 807,401 × 807,401
  4. Step 4: Simplify right side
    366,430x = 651,896,374,801
  5. Step 5: Solve for x
    x = 651,896,374,801/366,430
  6. Step 6: Final answer
    x = 1,779,047.50

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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.