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Finding the Third Proportional to 287,847,085.50 and 411,340,155.75

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Solution

The third proportional to 287,847,085.50 and 411,340,155.75 is: 587,814,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,847,085.50 : 411,340,155.75 = 411,340,155.75 : x
  2. Step 2: Convert to fraction form
    287,847,085.50/411,340,155.75 = 411,340,155.75/x
  3. Step 3: Cross multiply
    287,847,085.50x = 411,340,155.75 × 411,340,155.75
  4. Step 4: Simplify right side
    287,847,085.50x = 169,200,723,732,434,272
  5. Step 5: Solve for x
    x = 169,200,723,732,434,272/287,847,085.50
  6. Step 6: Final answer
    x = 587,814,614.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.