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Finding the Third Proportional to 684,618 and 1,065,681

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Solution

The third proportional to 684,618 and 1,065,681 is: 1,658,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,618 : 1,065,681 = 1,065,681 : x
  2. Step 2: Convert to fraction form
    684,618/1,065,681 = 1,065,681/x
  3. Step 3: Cross multiply
    684,618x = 1,065,681 × 1,065,681
  4. Step 4: Simplify right side
    684,618x = 1,135,675,993,761
  5. Step 5: Solve for x
    x = 1,135,675,993,761/684,618
  6. Step 6: Final answer
    x = 1,658,846.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.