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Finding the Third Proportional to 405,086 and 872,506

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Solution

The third proportional to 405,086 and 872,506 is: 1,879,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,086 : 872,506 = 872,506 : x
  2. Step 2: Convert to fraction form
    405,086/872,506 = 872,506/x
  3. Step 3: Cross multiply
    405,086x = 872,506 × 872,506
  4. Step 4: Simplify right side
    405,086x = 761,266,720,036
  5. Step 5: Solve for x
    x = 761,266,720,036/405,086
  6. Step 6: Final answer
    x = 1,879,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.