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Finding the Third Proportional to 546,848 and 856,113

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Solution

The third proportional to 546,848 and 856,113 is: 1,340,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,848 : 856,113 = 856,113 : x
  2. Step 2: Convert to fraction form
    546,848/856,113 = 856,113/x
  3. Step 3: Cross multiply
    546,848x = 856,113 × 856,113
  4. Step 4: Simplify right side
    546,848x = 732,929,468,769
  5. Step 5: Solve for x
    x = 732,929,468,769/546,848
  6. Step 6: Final answer
    x = 1,340,280.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.