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Finding the Third Proportional to 315,564.19 and 684,628.88

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Solution

The third proportional to 315,564.19 and 684,628.88 is: 1,485,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564.19 : 684,628.88 = 684,628.88 : x
  2. Step 2: Convert to fraction form
    315,564.19/684,628.88 = 684,628.88/x
  3. Step 3: Cross multiply
    315,564.19x = 684,628.88 × 684,628.88
  4. Step 4: Simplify right side
    315,564.19x = 468,716,696,483.77
  5. Step 5: Solve for x
    x = 468,716,696,483.77/315,564.19
  6. Step 6: Final answer
    x = 1,485,329.18

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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.