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Finding the Third Proportional to 405,232 and 873,319

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Solution

The third proportional to 405,232 and 873,319 is: 1,882,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,232 : 873,319 = 873,319 : x
  2. Step 2: Convert to fraction form
    405,232/873,319 = 873,319/x
  3. Step 3: Cross multiply
    405,232x = 873,319 × 873,319
  4. Step 4: Simplify right side
    405,232x = 762,686,075,761
  5. Step 5: Solve for x
    x = 762,686,075,761/405,232
  6. Step 6: Final answer
    x = 1,882,097.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.