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Finding the Third Proportional to 445,581 and 695,709

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Solution

The third proportional to 445,581 and 695,709 is: 1,086,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,581 : 695,709 = 695,709 : x
  2. Step 2: Convert to fraction form
    445,581/695,709 = 695,709/x
  3. Step 3: Cross multiply
    445,581x = 695,709 × 695,709
  4. Step 4: Simplify right side
    445,581x = 484,011,012,681
  5. Step 5: Solve for x
    x = 484,011,012,681/445,581
  6. Step 6: Final answer
    x = 1,086,246.97

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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.