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Finding the Third Proportional to 811,386 and 1,261,305

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Solution

The third proportional to 811,386 and 1,261,305 is: 1,960,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,386 : 1,261,305 = 1,261,305 : x
  2. Step 2: Convert to fraction form
    811,386/1,261,305 = 1,261,305/x
  3. Step 3: Cross multiply
    811,386x = 1,261,305 × 1,261,305
  4. Step 4: Simplify right side
    811,386x = 1,590,890,303,025
  5. Step 5: Solve for x
    x = 1,590,890,303,025/811,386
  6. Step 6: Final answer
    x = 1,960,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.