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Finding the Third Proportional to 316,078.50 and 684,645

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Solution

The third proportional to 316,078.50 and 684,645 is: 1,482,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,078.50 : 684,645 = 684,645 : x
  2. Step 2: Convert to fraction form
    316,078.50/684,645 = 684,645/x
  3. Step 3: Cross multiply
    316,078.50x = 684,645 × 684,645
  4. Step 4: Simplify right side
    316,078.50x = 468,738,776,025
  5. Step 5: Solve for x
    x = 468,738,776,025/316,078.50
  6. Step 6: Final answer
    x = 1,482,982.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.