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Finding the Third Proportional to 645,434 and 1,402,811

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Solution

The third proportional to 645,434 and 1,402,811 is: 3,048,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,434 : 1,402,811 = 1,402,811 : x
  2. Step 2: Convert to fraction form
    645,434/1,402,811 = 1,402,811/x
  3. Step 3: Cross multiply
    645,434x = 1,402,811 × 1,402,811
  4. Step 4: Simplify right side
    645,434x = 1,967,878,701,721
  5. Step 5: Solve for x
    x = 1,967,878,701,721/645,434
  6. Step 6: Final answer
    x = 3,048,923.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.