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Finding the Third Proportional to 310,135 and 657,910

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Solution

The third proportional to 310,135 and 657,910 is: 1,395,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,135 : 657,910 = 657,910 : x
  2. Step 2: Convert to fraction form
    310,135/657,910 = 657,910/x
  3. Step 3: Cross multiply
    310,135x = 657,910 × 657,910
  4. Step 4: Simplify right side
    310,135x = 432,845,568,100
  5. Step 5: Solve for x
    x = 432,845,568,100/310,135
  6. Step 6: Final answer
    x = 1,395,668.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.