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Finding the Third Proportional to 312,363 and 684,342

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Solution

The third proportional to 312,363 and 684,342 is: 1,499,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,363 : 684,342 = 684,342 : x
  2. Step 2: Convert to fraction form
    312,363/684,342 = 684,342/x
  3. Step 3: Cross multiply
    312,363x = 684,342 × 684,342
  4. Step 4: Simplify right side
    312,363x = 468,323,972,964
  5. Step 5: Solve for x
    x = 468,323,972,964/312,363
  6. Step 6: Final answer
    x = 1,499,294.00

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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.