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Finding the Third Proportional to 365,004 and 780,438

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Solution

The third proportional to 365,004 and 780,438 is: 1,668,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,004 : 780,438 = 780,438 : x
  2. Step 2: Convert to fraction form
    365,004/780,438 = 780,438/x
  3. Step 3: Cross multiply
    365,004x = 780,438 × 780,438
  4. Step 4: Simplify right side
    365,004x = 609,083,471,844
  5. Step 5: Solve for x
    x = 609,083,471,844/365,004
  6. Step 6: Final answer
    x = 1,668,703.55

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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.