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Finding the Third Proportional to 642,936 and 970,236

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Solution

The third proportional to 642,936 and 970,236 is: 1,464,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,936 : 970,236 = 970,236 : x
  2. Step 2: Convert to fraction form
    642,936/970,236 = 970,236/x
  3. Step 3: Cross multiply
    642,936x = 970,236 × 970,236
  4. Step 4: Simplify right side
    642,936x = 941,357,895,696
  5. Step 5: Solve for x
    x = 941,357,895,696/642,936
  6. Step 6: Final answer
    x = 1,464,154.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.