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Finding the Third Proportional to 361,146 and 777,792

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Solution

The third proportional to 361,146 and 777,792 is: 1,675,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,146 : 777,792 = 777,792 : x
  2. Step 2: Convert to fraction form
    361,146/777,792 = 777,792/x
  3. Step 3: Cross multiply
    361,146x = 777,792 × 777,792
  4. Step 4: Simplify right side
    361,146x = 604,960,395,264
  5. Step 5: Solve for x
    x = 604,960,395,264/361,146
  6. Step 6: Final answer
    x = 1,675,113.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.