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Finding the Third Proportional to 562,355 and 871,009

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Solution

The third proportional to 562,355 and 871,009 is: 1,349,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,355 : 871,009 = 871,009 : x
  2. Step 2: Convert to fraction form
    562,355/871,009 = 871,009/x
  3. Step 3: Cross multiply
    562,355x = 871,009 × 871,009
  4. Step 4: Simplify right side
    562,355x = 758,656,678,081
  5. Step 5: Solve for x
    x = 758,656,678,081/562,355
  6. Step 6: Final answer
    x = 1,349,070.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.