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Finding the Third Proportional to 295,396,158 and 642,807,924

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Solution

The third proportional to 295,396,158 and 642,807,924 is: 1,398,806,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,396,158 : 642,807,924 = 642,807,924 : x
  2. Step 2: Convert to fraction form
    295,396,158/642,807,924 = 642,807,924/x
  3. Step 3: Cross multiply
    295,396,158x = 642,807,924 × 642,807,924
  4. Step 4: Simplify right side
    295,396,158x = 413,202,027,157,189,760
  5. Step 5: Solve for x
    x = 413,202,027,157,189,760/295,396,158
  6. Step 6: Final answer
    x = 1,398,806,368.89

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