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Finding the Third Proportional to 102,468 and 210,039

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Solution

The third proportional to 102,468 and 210,039 is: 430,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468 : 210,039 = 210,039 : x
  2. Step 2: Convert to fraction form
    102,468/210,039 = 210,039/x
  3. Step 3: Cross multiply
    102,468x = 210,039 × 210,039
  4. Step 4: Simplify right side
    102,468x = 44,116,381,521
  5. Step 5: Solve for x
    x = 44,116,381,521/102,468
  6. Step 6: Final answer
    x = 430,538.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.