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Finding the Third Proportional to 296,912 and 623,000

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Solution

The third proportional to 296,912 and 623,000 is: 1,307,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,912 : 623,000 = 623,000 : x
  2. Step 2: Convert to fraction form
    296,912/623,000 = 623,000/x
  3. Step 3: Cross multiply
    296,912x = 623,000 × 623,000
  4. Step 4: Simplify right side
    296,912x = 388,129,000,000
  5. Step 5: Solve for x
    x = 388,129,000,000/296,912
  6. Step 6: Final answer
    x = 1,307,218.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.