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Finding the Third Proportional to 102,513 and 210,129

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Solution

The third proportional to 102,513 and 210,129 is: 430,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513 : 210,129 = 210,129 : x
  2. Step 2: Convert to fraction form
    102,513/210,129 = 210,129/x
  3. Step 3: Cross multiply
    102,513x = 210,129 × 210,129
  4. Step 4: Simplify right side
    102,513x = 44,154,196,641
  5. Step 5: Solve for x
    x = 44,154,196,641/102,513
  6. Step 6: Final answer
    x = 430,718.02

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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.