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Finding the Third Proportional to 315,415.59 and 684,070.97

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Solution

The third proportional to 315,415.59 and 684,070.97 is: 1,483,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.59 : 684,070.97 = 684,070.97 : x
  2. Step 2: Convert to fraction form
    315,415.59/684,070.97 = 684,070.97/x
  3. Step 3: Cross multiply
    315,415.59x = 684,070.97 × 684,070.97
  4. Step 4: Simplify right side
    315,415.59x = 467,953,090,286.56
  5. Step 5: Solve for x
    x = 467,953,090,286.56/315,415.59
  6. Step 6: Final answer
    x = 1,483,607.97

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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.