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Finding the Third Proportional to 155,746.50 and 243,999

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Solution

The third proportional to 155,746.50 and 243,999 is: 382,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,746.50 : 243,999 = 243,999 : x
  2. Step 2: Convert to fraction form
    155,746.50/243,999 = 243,999/x
  3. Step 3: Cross multiply
    155,746.50x = 243,999 × 243,999
  4. Step 4: Simplify right side
    155,746.50x = 59,535,512,001
  5. Step 5: Solve for x
    x = 59,535,512,001/155,746.50
  6. Step 6: Final answer
    x = 382,259.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.