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Finding the Third Proportional to 312,657 and 640,055

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Solution

The third proportional to 312,657 and 640,055 is: 1,310,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,657 : 640,055 = 640,055 : x
  2. Step 2: Convert to fraction form
    312,657/640,055 = 640,055/x
  3. Step 3: Cross multiply
    312,657x = 640,055 × 640,055
  4. Step 4: Simplify right side
    312,657x = 409,670,403,025
  5. Step 5: Solve for x
    x = 409,670,403,025/312,657
  6. Step 6: Final answer
    x = 1,310,287.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.