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Finding the Third Proportional to 423,621 and 931,209

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Solution

The third proportional to 423,621 and 931,209 is: 2,046,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,621 : 931,209 = 931,209 : x
  2. Step 2: Convert to fraction form
    423,621/931,209 = 931,209/x
  3. Step 3: Cross multiply
    423,621x = 931,209 × 931,209
  4. Step 4: Simplify right side
    423,621x = 867,150,201,681
  5. Step 5: Solve for x
    x = 867,150,201,681/423,621
  6. Step 6: Final answer
    x = 2,046,995.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.