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Finding the Third Proportional to 316,256 and 690,880

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Solution

The third proportional to 316,256 and 690,880 is: 1,509,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,256 : 690,880 = 690,880 : x
  2. Step 2: Convert to fraction form
    316,256/690,880 = 690,880/x
  3. Step 3: Cross multiply
    316,256x = 690,880 × 690,880
  4. Step 4: Simplify right side
    316,256x = 477,315,174,400
  5. Step 5: Solve for x
    x = 477,315,174,400/316,256
  6. Step 6: Final answer
    x = 1,509,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.