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Finding the Third Proportional to 312,213 and 684,387

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Solution

The third proportional to 312,213 and 684,387 is: 1,500,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,213 : 684,387 = 684,387 : x
  2. Step 2: Convert to fraction form
    312,213/684,387 = 684,387/x
  3. Step 3: Cross multiply
    312,213x = 684,387 × 684,387
  4. Step 4: Simplify right side
    312,213x = 468,385,565,769
  5. Step 5: Solve for x
    x = 468,385,565,769/312,213
  6. Step 6: Final answer
    x = 1,500,211.60

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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.