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Finding the Third Proportional to 142,964,102.25 and 312,146,082

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Solution

The third proportional to 142,964,102.25 and 312,146,082 is: 681,535,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,964,102.25 : 312,146,082 = 312,146,082 : x
  2. Step 2: Convert to fraction form
    142,964,102.25/312,146,082 = 312,146,082/x
  3. Step 3: Cross multiply
    142,964,102.25x = 312,146,082 × 312,146,082
  4. Step 4: Simplify right side
    142,964,102.25x = 97,435,176,507,950,720
  5. Step 5: Solve for x
    x = 97,435,176,507,950,720/142,964,102.25
  6. Step 6: Final answer
    x = 681,535,958.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.