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Finding the Third Proportional to 560,618 and 869,723

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Solution

The third proportional to 560,618 and 869,723 is: 1,349,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,618 : 869,723 = 869,723 : x
  2. Step 2: Convert to fraction form
    560,618/869,723 = 869,723/x
  3. Step 3: Cross multiply
    560,618x = 869,723 × 869,723
  4. Step 4: Simplify right side
    560,618x = 756,418,096,729
  5. Step 5: Solve for x
    x = 756,418,096,729/560,618
  6. Step 6: Final answer
    x = 1,349,257.60

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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.