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Finding the Third Proportional to 142,968.38 and 309,475.13

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Solution

The third proportional to 142,968.38 and 309,475.13 is: 669,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,968.38 : 309,475.13 = 309,475.13 : x
  2. Step 2: Convert to fraction form
    142,968.38/309,475.13 = 309,475.13/x
  3. Step 3: Cross multiply
    142,968.38x = 309,475.13 × 309,475.13
  4. Step 4: Simplify right side
    142,968.38x = 95,774,852,993.77
  5. Step 5: Solve for x
    x = 95,774,852,993.77/142,968.38
  6. Step 6: Final answer
    x = 669,902.37

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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.