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Finding the Third Proportional to 554,058 and 1,213,209

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Solution

The third proportional to 554,058 and 1,213,209 is: 2,656,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,058 : 1,213,209 = 1,213,209 : x
  2. Step 2: Convert to fraction form
    554,058/1,213,209 = 1,213,209/x
  3. Step 3: Cross multiply
    554,058x = 1,213,209 × 1,213,209
  4. Step 4: Simplify right side
    554,058x = 1,471,876,077,681
  5. Step 5: Solve for x
    x = 1,471,876,077,681/554,058
  6. Step 6: Final answer
    x = 2,656,537.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.