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Finding the Third Proportional to 551,070 and 842,904

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Solution

The third proportional to 551,070 and 842,904 is: 1,289,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,070 : 842,904 = 842,904 : x
  2. Step 2: Convert to fraction form
    551,070/842,904 = 842,904/x
  3. Step 3: Cross multiply
    551,070x = 842,904 × 842,904
  4. Step 4: Simplify right side
    551,070x = 710,487,153,216
  5. Step 5: Solve for x
    x = 710,487,153,216/551,070
  6. Step 6: Final answer
    x = 1,289,286.58

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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.