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Finding the Third Proportional to 549,509 and 871,784

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Solution

The third proportional to 549,509 and 871,784 is: 1,383,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,509 : 871,784 = 871,784 : x
  2. Step 2: Convert to fraction form
    549,509/871,784 = 871,784/x
  3. Step 3: Cross multiply
    549,509x = 871,784 × 871,784
  4. Step 4: Simplify right side
    549,509x = 760,007,342,656
  5. Step 5: Solve for x
    x = 760,007,342,656/549,509
  6. Step 6: Final answer
    x = 1,383,066.23

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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.