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Finding the Third Proportional to 508,077 and 779,685

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Solution

The third proportional to 508,077 and 779,685 is: 1,196,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,077 : 779,685 = 779,685 : x
  2. Step 2: Convert to fraction form
    508,077/779,685 = 779,685/x
  3. Step 3: Cross multiply
    508,077x = 779,685 × 779,685
  4. Step 4: Simplify right side
    508,077x = 607,908,699,225
  5. Step 5: Solve for x
    x = 607,908,699,225/508,077
  6. Step 6: Final answer
    x = 1,196,489.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.