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Finding the Third Proportional to 442,810 and 917,128

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Solution

The third proportional to 442,810 and 917,128 is: 1,899,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810 : 917,128 = 917,128 : x
  2. Step 2: Convert to fraction form
    442,810/917,128 = 917,128/x
  3. Step 3: Cross multiply
    442,810x = 917,128 × 917,128
  4. Step 4: Simplify right side
    442,810x = 841,123,768,384
  5. Step 5: Solve for x
    x = 841,123,768,384/442,810
  6. Step 6: Final answer
    x = 1,899,513.94

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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.