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Finding the Third Proportional to 365,006 and 780,442

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Solution

The third proportional to 365,006 and 780,442 is: 1,668,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,006 : 780,442 = 780,442 : x
  2. Step 2: Convert to fraction form
    365,006/780,442 = 780,442/x
  3. Step 3: Cross multiply
    365,006x = 780,442 × 780,442
  4. Step 4: Simplify right side
    365,006x = 609,089,715,364
  5. Step 5: Solve for x
    x = 609,089,715,364/365,006
  6. Step 6: Final answer
    x = 1,668,711.52

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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.