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Finding the Third Proportional to 570,710 and 854,280

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Solution

The third proportional to 570,710 and 854,280 is: 1,278,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,710 : 854,280 = 854,280 : x
  2. Step 2: Convert to fraction form
    570,710/854,280 = 854,280/x
  3. Step 3: Cross multiply
    570,710x = 854,280 × 854,280
  4. Step 4: Simplify right side
    570,710x = 729,794,318,400
  5. Step 5: Solve for x
    x = 729,794,318,400/570,710
  6. Step 6: Final answer
    x = 1,278,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.