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Finding the Third Proportional to 53,145 and 72,207

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Solution

The third proportional to 53,145 and 72,207 is: 98,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,145 : 72,207 = 72,207 : x
  2. Step 2: Convert to fraction form
    53,145/72,207 = 72,207/x
  3. Step 3: Cross multiply
    53,145x = 72,207 × 72,207
  4. Step 4: Simplify right side
    53,145x = 5,213,850,849
  5. Step 5: Solve for x
    x = 5,213,850,849/53,145
  6. Step 6: Final answer
    x = 98,106.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.