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Finding the Third Proportional to 575,520 and 871,308

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Solution

The third proportional to 575,520 and 871,308 is: 1,319,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,520 : 871,308 = 871,308 : x
  2. Step 2: Convert to fraction form
    575,520/871,308 = 871,308/x
  3. Step 3: Cross multiply
    575,520x = 871,308 × 871,308
  4. Step 4: Simplify right side
    575,520x = 759,177,630,864
  5. Step 5: Solve for x
    x = 759,177,630,864/575,520
  6. Step 6: Final answer
    x = 1,319,115.98

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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.