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Finding the Third Proportional to 157,984 and 256,669.50

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Solution

The third proportional to 157,984 and 256,669.50 is: 416,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,984 : 256,669.50 = 256,669.50 : x
  2. Step 2: Convert to fraction form
    157,984/256,669.50 = 256,669.50/x
  3. Step 3: Cross multiply
    157,984x = 256,669.50 × 256,669.50
  4. Step 4: Simplify right side
    157,984x = 65,879,232,230.25
  5. Step 5: Solve for x
    x = 65,879,232,230.25/157,984
  6. Step 6: Final answer
    x = 416,999.39

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.