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

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Solution

The third proportional to 101,430 and 216,430 is: 461,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430 : 216,430 = 216,430 : x
  2. Step 2: Convert to fraction form
    101,430/216,430 = 216,430/x
  3. Step 3: Cross multiply
    101,430x = 216,430 × 216,430
  4. Step 4: Simplify right side
    101,430x = 46,841,944,900
  5. Step 5: Solve for x
    x = 46,841,944,900/101,430
  6. Step 6: Final answer
    x = 461,815.49

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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.