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Finding the Third Proportional to 312,365 and 684,346

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Solution

The third proportional to 312,365 and 684,346 is: 1,499,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,365 : 684,346 = 684,346 : x
  2. Step 2: Convert to fraction form
    312,365/684,346 = 684,346/x
  3. Step 3: Cross multiply
    312,365x = 684,346 × 684,346
  4. Step 4: Simplify right side
    312,365x = 468,329,447,716
  5. Step 5: Solve for x
    x = 468,329,447,716/312,365
  6. Step 6: Final answer
    x = 1,499,301.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.