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Finding the Third Proportional to 623,812 and 1,312,812

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Solution

The third proportional to 623,812 and 1,312,812 is: 2,762,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,812 : 1,312,812 = 1,312,812 : x
  2. Step 2: Convert to fraction form
    623,812/1,312,812 = 1,312,812/x
  3. Step 3: Cross multiply
    623,812x = 1,312,812 × 1,312,812
  4. Step 4: Simplify right side
    623,812x = 1,723,475,347,344
  5. Step 5: Solve for x
    x = 1,723,475,347,344/623,812
  6. Step 6: Final answer
    x = 2,762,812.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.