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Finding the Third Proportional to 411,256.50 and 613,459.50

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Solution

The third proportional to 411,256.50 and 613,459.50 is: 915,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,256.50 : 613,459.50 = 613,459.50 : x
  2. Step 2: Convert to fraction form
    411,256.50/613,459.50 = 613,459.50/x
  3. Step 3: Cross multiply
    411,256.50x = 613,459.50 × 613,459.50
  4. Step 4: Simplify right side
    411,256.50x = 376,332,558,140.25
  5. Step 5: Solve for x
    x = 376,332,558,140.25/411,256.50
  6. Step 6: Final answer
    x = 915,079.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.