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Finding the Third Proportional to 365,000 and 780,440

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Solution

The third proportional to 365,000 and 780,440 is: 1,668,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,000 : 780,440 = 780,440 : x
  2. Step 2: Convert to fraction form
    365,000/780,440 = 780,440/x
  3. Step 3: Cross multiply
    365,000x = 780,440 × 780,440
  4. Step 4: Simplify right side
    365,000x = 609,086,593,600
  5. Step 5: Solve for x
    x = 609,086,593,600/365,000
  6. Step 6: Final answer
    x = 1,668,730.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.