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Finding the Third Proportional to 670,278 and 1,436,508

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Solution

The third proportional to 670,278 and 1,436,508 is: 3,078,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,278 : 1,436,508 = 1,436,508 : x
  2. Step 2: Convert to fraction form
    670,278/1,436,508 = 1,436,508/x
  3. Step 3: Cross multiply
    670,278x = 1,436,508 × 1,436,508
  4. Step 4: Simplify right side
    670,278x = 2,063,555,234,064
  5. Step 5: Solve for x
    x = 2,063,555,234,064/670,278
  6. Step 6: Final answer
    x = 3,078,655.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.