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Finding the Third Proportional to 869,012 and 1,272,409

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Solution

The third proportional to 869,012 and 1,272,409 is: 1,863,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,012 : 1,272,409 = 1,272,409 : x
  2. Step 2: Convert to fraction form
    869,012/1,272,409 = 1,272,409/x
  3. Step 3: Cross multiply
    869,012x = 1,272,409 × 1,272,409
  4. Step 4: Simplify right side
    869,012x = 1,619,024,663,281
  5. Step 5: Solve for x
    x = 1,619,024,663,281/869,012
  6. Step 6: Final answer
    x = 1,863,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.