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Finding the Third Proportional to 101,430 and 216,429

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Solution

The third proportional to 101,430 and 216,429 is: 461,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430 : 216,429 = 216,429 : x
  2. Step 2: Convert to fraction form
    101,430/216,429 = 216,429/x
  3. Step 3: Cross multiply
    101,430x = 216,429 × 216,429
  4. Step 4: Simplify right side
    101,430x = 46,841,512,041
  5. Step 5: Solve for x
    x = 46,841,512,041/101,430
  6. Step 6: Final answer
    x = 461,811.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.