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Finding the Third Proportional to 551,076 and 842,913

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Solution

The third proportional to 551,076 and 842,913 is: 1,289,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,076 : 842,913 = 842,913 : x
  2. Step 2: Convert to fraction form
    551,076/842,913 = 842,913/x
  3. Step 3: Cross multiply
    551,076x = 842,913 × 842,913
  4. Step 4: Simplify right side
    551,076x = 710,502,325,569
  5. Step 5: Solve for x
    x = 710,502,325,569/551,076
  6. Step 6: Final answer
    x = 1,289,300.07

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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.