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Finding the Third Proportional to 579,075 and 872,871

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Solution

The third proportional to 579,075 and 872,871 is: 1,315,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,075 : 872,871 = 872,871 : x
  2. Step 2: Convert to fraction form
    579,075/872,871 = 872,871/x
  3. Step 3: Cross multiply
    579,075x = 872,871 × 872,871
  4. Step 4: Simplify right side
    579,075x = 761,903,782,641
  5. Step 5: Solve for x
    x = 761,903,782,641/579,075
  6. Step 6: Final answer
    x = 1,315,725.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.