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Finding the Third Proportional to 404,370 and 616,347

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Solution

The third proportional to 404,370 and 616,347 is: 939,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,370 : 616,347 = 616,347 : x
  2. Step 2: Convert to fraction form
    404,370/616,347 = 616,347/x
  3. Step 3: Cross multiply
    404,370x = 616,347 × 616,347
  4. Step 4: Simplify right side
    404,370x = 379,883,624,409
  5. Step 5: Solve for x
    x = 379,883,624,409/404,370
  6. Step 6: Final answer
    x = 939,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.