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Finding the Third Proportional to 291,223 and 639,547

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Solution

The third proportional to 291,223 and 639,547 is: 1,404,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223 : 639,547 = 639,547 : x
  2. Step 2: Convert to fraction form
    291,223/639,547 = 639,547/x
  3. Step 3: Cross multiply
    291,223x = 639,547 × 639,547
  4. Step 4: Simplify right side
    291,223x = 409,020,365,209
  5. Step 5: Solve for x
    x = 409,020,365,209/291,223
  6. Step 6: Final answer
    x = 1,404,491.97

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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.