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Finding the Third Proportional to 549,513 and 871,790

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Solution

The third proportional to 549,513 and 871,790 is: 1,383,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,513 : 871,790 = 871,790 : x
  2. Step 2: Convert to fraction form
    549,513/871,790 = 871,790/x
  3. Step 3: Cross multiply
    549,513x = 871,790 × 871,790
  4. Step 4: Simplify right side
    549,513x = 760,017,804,100
  5. Step 5: Solve for x
    x = 760,017,804,100/549,513
  6. Step 6: Final answer
    x = 1,383,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.