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Finding the Third Proportional to 551,072 and 842,415

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Solution

The third proportional to 551,072 and 842,415 is: 1,287,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,072 : 842,415 = 842,415 : x
  2. Step 2: Convert to fraction form
    551,072/842,415 = 842,415/x
  3. Step 3: Cross multiply
    551,072x = 842,415 × 842,415
  4. Step 4: Simplify right side
    551,072x = 709,663,032,225
  5. Step 5: Solve for x
    x = 709,663,032,225/551,072
  6. Step 6: Final answer
    x = 1,287,786.41

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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.