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Finding the Third Proportional to 417,140 and 917,224

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Solution

The third proportional to 417,140 and 917,224 is: 2,016,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,140 : 917,224 = 917,224 : x
  2. Step 2: Convert to fraction form
    417,140/917,224 = 917,224/x
  3. Step 3: Cross multiply
    417,140x = 917,224 × 917,224
  4. Step 4: Simplify right side
    417,140x = 841,299,866,176
  5. Step 5: Solve for x
    x = 841,299,866,176/417,140
  6. Step 6: Final answer
    x = 2,016,828.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.