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Finding the Third Proportional to 513,178 and 739,209

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Solution

The third proportional to 513,178 and 739,209 is: 1,064,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,178 : 739,209 = 739,209 : x
  2. Step 2: Convert to fraction form
    513,178/739,209 = 739,209/x
  3. Step 3: Cross multiply
    513,178x = 739,209 × 739,209
  4. Step 4: Simplify right side
    513,178x = 546,429,945,681
  5. Step 5: Solve for x
    x = 546,429,945,681/513,178
  6. Step 6: Final answer
    x = 1,064,796.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.