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Finding the Third Proportional to 297,681 and 643,108

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Solution

The third proportional to 297,681 and 643,108 is: 1,389,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,681 : 643,108 = 643,108 : x
  2. Step 2: Convert to fraction form
    297,681/643,108 = 643,108/x
  3. Step 3: Cross multiply
    297,681x = 643,108 × 643,108
  4. Step 4: Simplify right side
    297,681x = 413,587,899,664
  5. Step 5: Solve for x
    x = 413,587,899,664/297,681
  6. Step 6: Final answer
    x = 1,389,366.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.