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Finding the Third Proportional to 142,308 and 316,120.50

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Solution

The third proportional to 142,308 and 316,120.50 is: 702,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,308 : 316,120.50 = 316,120.50 : x
  2. Step 2: Convert to fraction form
    142,308/316,120.50 = 316,120.50/x
  3. Step 3: Cross multiply
    142,308x = 316,120.50 × 316,120.50
  4. Step 4: Simplify right side
    142,308x = 99,932,170,520.25
  5. Step 5: Solve for x
    x = 99,932,170,520.25/142,308
  6. Step 6: Final answer
    x = 702,224.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.