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Finding the Third Proportional to 640,076 and 961,815

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Solution

The third proportional to 640,076 and 961,815 is: 1,445,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,076 : 961,815 = 961,815 : x
  2. Step 2: Convert to fraction form
    640,076/961,815 = 961,815/x
  3. Step 3: Cross multiply
    640,076x = 961,815 × 961,815
  4. Step 4: Simplify right side
    640,076x = 925,088,094,225
  5. Step 5: Solve for x
    x = 925,088,094,225/640,076
  6. Step 6: Final answer
    x = 1,445,278.52

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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.