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Finding the Third Proportional to 401,256 and 623,312

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Solution

The third proportional to 401,256 and 623,312 is: 968,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,256 : 623,312 = 623,312 : x
  2. Step 2: Convert to fraction form
    401,256/623,312 = 623,312/x
  3. Step 3: Cross multiply
    401,256x = 623,312 × 623,312
  4. Step 4: Simplify right side
    401,256x = 388,517,849,344
  5. Step 5: Solve for x
    x = 388,517,849,344/401,256
  6. Step 6: Final answer
    x = 968,254.30

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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.