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Finding the Third Proportional to 442,811 and 917,129

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Solution

The third proportional to 442,811 and 917,129 is: 1,899,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,811 : 917,129 = 917,129 : x
  2. Step 2: Convert to fraction form
    442,811/917,129 = 917,129/x
  3. Step 3: Cross multiply
    442,811x = 917,129 × 917,129
  4. Step 4: Simplify right side
    442,811x = 841,125,602,641
  5. Step 5: Solve for x
    x = 841,125,602,641/442,811
  6. Step 6: Final answer
    x = 1,899,513.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.