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Finding the Third Proportional to 506,125 and 776,103

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Solution

The third proportional to 506,125 and 776,103 is: 1,190,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,125 : 776,103 = 776,103 : x
  2. Step 2: Convert to fraction form
    506,125/776,103 = 776,103/x
  3. Step 3: Cross multiply
    506,125x = 776,103 × 776,103
  4. Step 4: Simplify right side
    506,125x = 602,335,866,609
  5. Step 5: Solve for x
    x = 602,335,866,609/506,125
  6. Step 6: Final answer
    x = 1,190,093.09

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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.