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Finding the Third Proportional to 423,641 and 931,243

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Solution

The third proportional to 423,641 and 931,243 is: 2,047,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,641 : 931,243 = 931,243 : x
  2. Step 2: Convert to fraction form
    423,641/931,243 = 931,243/x
  3. Step 3: Cross multiply
    423,641x = 931,243 × 931,243
  4. Step 4: Simplify right side
    423,641x = 867,213,525,049
  5. Step 5: Solve for x
    x = 867,213,525,049/423,641
  6. Step 6: Final answer
    x = 2,047,048.15

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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.