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Finding the Third Proportional to 551,035 and 842,970

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Solution

The third proportional to 551,035 and 842,970 is: 1,289,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,035 : 842,970 = 842,970 : x
  2. Step 2: Convert to fraction form
    551,035/842,970 = 842,970/x
  3. Step 3: Cross multiply
    551,035x = 842,970 × 842,970
  4. Step 4: Simplify right side
    551,035x = 710,598,420,900
  5. Step 5: Solve for x
    x = 710,598,420,900/551,035
  6. Step 6: Final answer
    x = 1,289,570.39

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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.