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Finding the Third Proportional to 683,640 and 1,490,294

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Solution

The third proportional to 683,640 and 1,490,294 is: 3,248,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,640 : 1,490,294 = 1,490,294 : x
  2. Step 2: Convert to fraction form
    683,640/1,490,294 = 1,490,294/x
  3. Step 3: Cross multiply
    683,640x = 1,490,294 × 1,490,294
  4. Step 4: Simplify right side
    683,640x = 2,220,976,206,436
  5. Step 5: Solve for x
    x = 2,220,976,206,436/683,640
  6. Step 6: Final answer
    x = 3,248,751.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.