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Finding the Third Proportional to 147,987 and 319,622.63

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Solution

The third proportional to 147,987 and 319,622.63 is: 690,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 319,622.63 = 319,622.63 : x
  2. Step 2: Convert to fraction form
    147,987/319,622.63 = 319,622.63/x
  3. Step 3: Cross multiply
    147,987x = 319,622.63 × 319,622.63
  4. Step 4: Simplify right side
    147,987x = 102,158,622,411.89
  5. Step 5: Solve for x
    x = 102,158,622,411.89/147,987
  6. Step 6: Final answer
    x = 690,321.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.