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Finding the Third Proportional to 869,310 and 1,329,786

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Solution

The third proportional to 869,310 and 1,329,786 is: 2,034,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,310 : 1,329,786 = 1,329,786 : x
  2. Step 2: Convert to fraction form
    869,310/1,329,786 = 1,329,786/x
  3. Step 3: Cross multiply
    869,310x = 1,329,786 × 1,329,786
  4. Step 4: Simplify right side
    869,310x = 1,768,330,805,796
  5. Step 5: Solve for x
    x = 1,768,330,805,796/869,310
  6. Step 6: Final answer
    x = 2,034,177.46

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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.