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Finding the Third Proportional to 385,687.50 and 837,712.50

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Solution

The third proportional to 385,687.50 and 837,712.50 is: 1,819,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,687.50 : 837,712.50 = 837,712.50 : x
  2. Step 2: Convert to fraction form
    385,687.50/837,712.50 = 837,712.50/x
  3. Step 3: Cross multiply
    385,687.50x = 837,712.50 × 837,712.50
  4. Step 4: Simplify right side
    385,687.50x = 701,762,232,656.25
  5. Step 5: Solve for x
    x = 701,762,232,656.25/385,687.50
  6. Step 6: Final answer
    x = 1,819,509.92

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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.