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Finding the Third Proportional to 869,960 and 1,330,942

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Solution

The third proportional to 869,960 and 1,330,942 is: 2,036,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,960 : 1,330,942 = 1,330,942 : x
  2. Step 2: Convert to fraction form
    869,960/1,330,942 = 1,330,942/x
  3. Step 3: Cross multiply
    869,960x = 1,330,942 × 1,330,942
  4. Step 4: Simplify right side
    869,960x = 1,771,406,607,364
  5. Step 5: Solve for x
    x = 1,771,406,607,364/869,960
  6. Step 6: Final answer
    x = 2,036,193.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.