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Finding the Third Proportional to 557,690 and 841,731

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Solution

The third proportional to 557,690 and 841,731 is: 1,270,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,690 : 841,731 = 841,731 : x
  2. Step 2: Convert to fraction form
    557,690/841,731 = 841,731/x
  3. Step 3: Cross multiply
    557,690x = 841,731 × 841,731
  4. Step 4: Simplify right side
    557,690x = 708,511,076,361
  5. Step 5: Solve for x
    x = 708,511,076,361/557,690
  6. Step 6: Final answer
    x = 1,270,438.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.