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Finding the Third Proportional to 115,816.50 and 243,783

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Solution

The third proportional to 115,816.50 and 243,783 is: 513,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,816.50 : 243,783 = 243,783 : x
  2. Step 2: Convert to fraction form
    115,816.50/243,783 = 243,783/x
  3. Step 3: Cross multiply
    115,816.50x = 243,783 × 243,783
  4. Step 4: Simplify right side
    115,816.50x = 59,430,151,089
  5. Step 5: Solve for x
    x = 59,430,151,089/115,816.50
  6. Step 6: Final answer
    x = 513,140.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.