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Finding the Third Proportional to 385,984 and 837,980

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Solution

The third proportional to 385,984 and 837,980 is: 1,819,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,984 : 837,980 = 837,980 : x
  2. Step 2: Convert to fraction form
    385,984/837,980 = 837,980/x
  3. Step 3: Cross multiply
    385,984x = 837,980 × 837,980
  4. Step 4: Simplify right side
    385,984x = 702,210,480,400
  5. Step 5: Solve for x
    x = 702,210,480,400/385,984
  6. Step 6: Final answer
    x = 1,819,273.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.