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Finding the Third Proportional to 257,994 and 547,209

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Solution

The third proportional to 257,994 and 547,209 is: 1,160,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,994 : 547,209 = 547,209 : x
  2. Step 2: Convert to fraction form
    257,994/547,209 = 547,209/x
  3. Step 3: Cross multiply
    257,994x = 547,209 × 547,209
  4. Step 4: Simplify right side
    257,994x = 299,437,689,681
  5. Step 5: Solve for x
    x = 299,437,689,681/257,994
  6. Step 6: Final answer
    x = 1,160,638.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.