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Finding the Third Proportional to 316,935 and 434,565

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Solution

The third proportional to 316,935 and 434,565 is: 595,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,935 : 434,565 = 434,565 : x
  2. Step 2: Convert to fraction form
    316,935/434,565 = 434,565/x
  3. Step 3: Cross multiply
    316,935x = 434,565 × 434,565
  4. Step 4: Simplify right side
    316,935x = 188,846,739,225
  5. Step 5: Solve for x
    x = 188,846,739,225/316,935
  6. Step 6: Final answer
    x = 595,853.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.