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Finding the Third Proportional to 143,009.30 and 308,315.74

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Solution

The third proportional to 143,009.30 and 308,315.74 is: 664,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009.30 : 308,315.74 = 308,315.74 : x
  2. Step 2: Convert to fraction form
    143,009.30/308,315.74 = 308,315.74/x
  3. Step 3: Cross multiply
    143,009.30x = 308,315.74 × 308,315.74
  4. Step 4: Simplify right side
    143,009.30x = 95,058,596,880.63
  5. Step 5: Solve for x
    x = 95,058,596,880.63/143,009.30
  6. Step 6: Final answer
    x = 664,702.22

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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.