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Finding the Third Proportional to 212,159.81 and 457,534.69

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Solution

The third proportional to 212,159.81 and 457,534.69 is: 986,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,159.81 : 457,534.69 = 457,534.69 : x
  2. Step 2: Convert to fraction form
    212,159.81/457,534.69 = 457,534.69/x
  3. Step 3: Cross multiply
    212,159.81x = 457,534.69 × 457,534.69
  4. Step 4: Simplify right side
    212,159.81x = 209,337,990,265.72
  5. Step 5: Solve for x
    x = 209,337,990,265.72/212,159.81
  6. Step 6: Final answer
    x = 986,699.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.