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Finding the Third Proportional to 258,140 and 566,143

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Solution

The third proportional to 258,140 and 566,143 is: 1,241,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,140 : 566,143 = 566,143 : x
  2. Step 2: Convert to fraction form
    258,140/566,143 = 566,143/x
  3. Step 3: Cross multiply
    258,140x = 566,143 × 566,143
  4. Step 4: Simplify right side
    258,140x = 320,517,896,449
  5. Step 5: Solve for x
    x = 320,517,896,449/258,140
  6. Step 6: Final answer
    x = 1,241,643.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.