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Finding the Third Proportional to 389,426 and 841,129

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Solution

The third proportional to 389,426 and 841,129 is: 1,816,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,426 : 841,129 = 841,129 : x
  2. Step 2: Convert to fraction form
    389,426/841,129 = 841,129/x
  3. Step 3: Cross multiply
    389,426x = 841,129 × 841,129
  4. Step 4: Simplify right side
    389,426x = 707,497,994,641
  5. Step 5: Solve for x
    x = 707,497,994,641/389,426
  6. Step 6: Final answer
    x = 1,816,771.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.