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Finding the Third Proportional to 310,140 and 633,420

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Solution

The third proportional to 310,140 and 633,420 is: 1,293,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,140 : 633,420 = 633,420 : x
  2. Step 2: Convert to fraction form
    310,140/633,420 = 633,420/x
  3. Step 3: Cross multiply
    310,140x = 633,420 × 633,420
  4. Step 4: Simplify right side
    310,140x = 401,220,896,400
  5. Step 5: Solve for x
    x = 401,220,896,400/310,140
  6. Step 6: Final answer
    x = 1,293,676.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.