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Finding the Third Proportional to 560,622 and 869,729

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Solution

The third proportional to 560,622 and 869,729 is: 1,349,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,622 : 869,729 = 869,729 : x
  2. Step 2: Convert to fraction form
    560,622/869,729 = 869,729/x
  3. Step 3: Cross multiply
    560,622x = 869,729 × 869,729
  4. Step 4: Simplify right side
    560,622x = 756,428,533,441
  5. Step 5: Solve for x
    x = 756,428,533,441/560,622
  6. Step 6: Final answer
    x = 1,349,266.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.