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Finding the Third Proportional to 155,248.50 and 320,407.50

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Solution

The third proportional to 155,248.50 and 320,407.50 is: 661,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,248.50 : 320,407.50 = 320,407.50 : x
  2. Step 2: Convert to fraction form
    155,248.50/320,407.50 = 320,407.50/x
  3. Step 3: Cross multiply
    155,248.50x = 320,407.50 × 320,407.50
  4. Step 4: Simplify right side
    155,248.50x = 102,660,966,056.25
  5. Step 5: Solve for x
    x = 102,660,966,056.25/155,248.50
  6. Step 6: Final answer
    x = 661,268.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.