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Finding the Third Proportional to 295,998 and 641,890.50

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Solution

The third proportional to 295,998 and 641,890.50 is: 1,391,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,998 : 641,890.50 = 641,890.50 : x
  2. Step 2: Convert to fraction form
    295,998/641,890.50 = 641,890.50/x
  3. Step 3: Cross multiply
    295,998x = 641,890.50 × 641,890.50
  4. Step 4: Simplify right side
    295,998x = 412,023,413,990.25
  5. Step 5: Solve for x
    x = 412,023,413,990.25/295,998
  6. Step 6: Final answer
    x = 1,391,980.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.