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Finding the Third Proportional to 256,284.50 and 561,931.50

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Solution

The third proportional to 256,284.50 and 561,931.50 is: 1,232,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,284.50 : 561,931.50 = 561,931.50 : x
  2. Step 2: Convert to fraction form
    256,284.50/561,931.50 = 561,931.50/x
  3. Step 3: Cross multiply
    256,284.50x = 561,931.50 × 561,931.50
  4. Step 4: Simplify right side
    256,284.50x = 315,767,010,692.25
  5. Step 5: Solve for x
    x = 315,767,010,692.25/256,284.50
  6. Step 6: Final answer
    x = 1,232,095.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.