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Finding the Third Proportional to 425,710.69 and 640,360.13

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Solution

The third proportional to 425,710.69 and 640,360.13 is: 963,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,710.69 : 640,360.13 = 640,360.13 : x
  2. Step 2: Convert to fraction form
    425,710.69/640,360.13 = 640,360.13/x
  3. Step 3: Cross multiply
    425,710.69x = 640,360.13 × 640,360.13
  4. Step 4: Simplify right side
    425,710.69x = 410,061,089,690.02
  5. Step 5: Solve for x
    x = 410,061,089,690.02/425,710.69
  6. Step 6: Final answer
    x = 963,238.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.