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Finding the Third Proportional to 437,217 and 643,323

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Solution

The third proportional to 437,217 and 643,323 is: 946,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,217 : 643,323 = 643,323 : x
  2. Step 2: Convert to fraction form
    437,217/643,323 = 643,323/x
  3. Step 3: Cross multiply
    437,217x = 643,323 × 643,323
  4. Step 4: Simplify right side
    437,217x = 413,864,482,329
  5. Step 5: Solve for x
    x = 413,864,482,329/437,217
  6. Step 6: Final answer
    x = 946,588.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.