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Finding the Third Proportional to 102,515 and 210,133

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Solution

The third proportional to 102,515 and 210,133 is: 430,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515 : 210,133 = 210,133 : x
  2. Step 2: Convert to fraction form
    102,515/210,133 = 210,133/x
  3. Step 3: Cross multiply
    102,515x = 210,133 × 210,133
  4. Step 4: Simplify right side
    102,515x = 44,155,877,689
  5. Step 5: Solve for x
    x = 44,155,877,689/102,515
  6. Step 6: Final answer
    x = 430,726.02

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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.