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Finding the Third Proportional to 360,783 and 777,489

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Solution

The third proportional to 360,783 and 777,489 is: 1,675,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,783 : 777,489 = 777,489 : x
  2. Step 2: Convert to fraction form
    360,783/777,489 = 777,489/x
  3. Step 3: Cross multiply
    360,783x = 777,489 × 777,489
  4. Step 4: Simplify right side
    360,783x = 604,489,145,121
  5. Step 5: Solve for x
    x = 604,489,145,121/360,783
  6. Step 6: Final answer
    x = 1,675,492.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.