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Finding the Third Proportional to 286,656 and 623,064

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Solution

The third proportional to 286,656 and 623,064 is: 1,354,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,656 : 623,064 = 623,064 : x
  2. Step 2: Convert to fraction form
    286,656/623,064 = 623,064/x
  3. Step 3: Cross multiply
    286,656x = 623,064 × 623,064
  4. Step 4: Simplify right side
    286,656x = 388,208,748,096
  5. Step 5: Solve for x
    x = 388,208,748,096/286,656
  6. Step 6: Final answer
    x = 1,354,266.95

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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.