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Finding the Third Proportional to 613,800 and 1,333,840.50

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Solution

The third proportional to 613,800 and 1,333,840.50 is: 2,898,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,800 : 1,333,840.50 = 1,333,840.50 : x
  2. Step 2: Convert to fraction form
    613,800/1,333,840.50 = 1,333,840.50/x
  3. Step 3: Cross multiply
    613,800x = 1,333,840.50 × 1,333,840.50
  4. Step 4: Simplify right side
    613,800x = 1,779,130,479,440.25
  5. Step 5: Solve for x
    x = 1,779,130,479,440.25/613,800
  6. Step 6: Final answer
    x = 2,898,550.80

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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.