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Finding the Third Proportional to 462,375 and 690,444

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Solution

The third proportional to 462,375 and 690,444 is: 1,031,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,375 : 690,444 = 690,444 : x
  2. Step 2: Convert to fraction form
    462,375/690,444 = 690,444/x
  3. Step 3: Cross multiply
    462,375x = 690,444 × 690,444
  4. Step 4: Simplify right side
    462,375x = 476,712,917,136
  5. Step 5: Solve for x
    x = 476,712,917,136/462,375
  6. Step 6: Final answer
    x = 1,031,009.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.