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Finding the Third Proportional to 315,565 and 688,954

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Solution

The third proportional to 315,565 and 688,954 is: 1,504,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,565 : 688,954 = 688,954 : x
  2. Step 2: Convert to fraction form
    315,565/688,954 = 688,954/x
  3. Step 3: Cross multiply
    315,565x = 688,954 × 688,954
  4. Step 4: Simplify right side
    315,565x = 474,657,614,116
  5. Step 5: Solve for x
    x = 474,657,614,116/315,565
  6. Step 6: Final answer
    x = 1,504,151.65

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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.