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Finding the Third Proportional to 213,688.13 and 499,228.31

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Solution

The third proportional to 213,688.13 and 499,228.31 is: 1,166,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.13 : 499,228.31 = 499,228.31 : x
  2. Step 2: Convert to fraction form
    213,688.13/499,228.31 = 499,228.31/x
  3. Step 3: Cross multiply
    213,688.13x = 499,228.31 × 499,228.31
  4. Step 4: Simplify right side
    213,688.13x = 249,228,908,001.60
  5. Step 5: Solve for x
    x = 249,228,908,001.60/213,688.13
  6. Step 6: Final answer
    x = 1,166,320.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.