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Finding the Third Proportional to 401,220.84 and 623,255.91

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Solution

The third proportional to 401,220.84 and 623,255.91 is: 968,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,220.84 : 623,255.91 = 623,255.91 : x
  2. Step 2: Convert to fraction form
    401,220.84/623,255.91 = 623,255.91/x
  3. Step 3: Cross multiply
    401,220.84x = 623,255.91 × 623,255.91
  4. Step 4: Simplify right side
    401,220.84x = 388,447,924,675.51
  5. Step 5: Solve for x
    x = 388,447,924,675.51/401,220.84
  6. Step 6: Final answer
    x = 968,164.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.