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Finding the Third Proportional to 102,507 and 210,117

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Solution

The third proportional to 102,507 and 210,117 is: 430,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507 : 210,117 = 210,117 : x
  2. Step 2: Convert to fraction form
    102,507/210,117 = 210,117/x
  3. Step 3: Cross multiply
    102,507x = 210,117 × 210,117
  4. Step 4: Simplify right side
    102,507x = 44,149,153,689
  5. Step 5: Solve for x
    x = 44,149,153,689/102,507
  6. Step 6: Final answer
    x = 430,694.04

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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.