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Finding the Third Proportional to 461,645 and 690,623

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Solution

The third proportional to 461,645 and 690,623 is: 1,033,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,645 : 690,623 = 690,623 : x
  2. Step 2: Convert to fraction form
    461,645/690,623 = 690,623/x
  3. Step 3: Cross multiply
    461,645x = 690,623 × 690,623
  4. Step 4: Simplify right side
    461,645x = 476,960,128,129
  5. Step 5: Solve for x
    x = 476,960,128,129/461,645
  6. Step 6: Final answer
    x = 1,033,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.