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Finding the Third Proportional to 639,897 and 958,864.50

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Solution

The third proportional to 639,897 and 958,864.50 is: 1,436,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,897 : 958,864.50 = 958,864.50 : x
  2. Step 2: Convert to fraction form
    639,897/958,864.50 = 958,864.50/x
  3. Step 3: Cross multiply
    639,897x = 958,864.50 × 958,864.50
  4. Step 4: Simplify right side
    639,897x = 919,421,129,360.25
  5. Step 5: Solve for x
    x = 919,421,129,360.25/639,897
  6. Step 6: Final answer
    x = 1,436,826.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.