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Finding the Third Proportional to 315,501.50 and 684,235.50

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Solution

The third proportional to 315,501.50 and 684,235.50 is: 1,483,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,501.50 : 684,235.50 = 684,235.50 : x
  2. Step 2: Convert to fraction form
    315,501.50/684,235.50 = 684,235.50/x
  3. Step 3: Cross multiply
    315,501.50x = 684,235.50 × 684,235.50
  4. Step 4: Simplify right side
    315,501.50x = 468,178,219,460.25
  5. Step 5: Solve for x
    x = 468,178,219,460.25/315,501.50
  6. Step 6: Final answer
    x = 1,483,917.57

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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.