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Finding the Third Proportional to 646,310 and 1,382,476

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Solution

The third proportional to 646,310 and 1,382,476 is: 2,957,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,310 : 1,382,476 = 1,382,476 : x
  2. Step 2: Convert to fraction form
    646,310/1,382,476 = 1,382,476/x
  3. Step 3: Cross multiply
    646,310x = 1,382,476 × 1,382,476
  4. Step 4: Simplify right side
    646,310x = 1,911,239,890,576
  5. Step 5: Solve for x
    x = 1,911,239,890,576/646,310
  6. Step 6: Final answer
    x = 2,957,156.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.