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Finding the Third Proportional to 747,964 and 1,621,312

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Solution

The third proportional to 747,964 and 1,621,312 is: 3,514,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,964 : 1,621,312 = 1,621,312 : x
  2. Step 2: Convert to fraction form
    747,964/1,621,312 = 1,621,312/x
  3. Step 3: Cross multiply
    747,964x = 1,621,312 × 1,621,312
  4. Step 4: Simplify right side
    747,964x = 2,628,652,601,344
  5. Step 5: Solve for x
    x = 2,628,652,601,344/747,964
  6. Step 6: Final answer
    x = 3,514,410.59

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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.