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Finding the Third Proportional to 434,126 and 670,871

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Solution

The third proportional to 434,126 and 670,871 is: 1,036,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,126 : 670,871 = 670,871 : x
  2. Step 2: Convert to fraction form
    434,126/670,871 = 670,871/x
  3. Step 3: Cross multiply
    434,126x = 670,871 × 670,871
  4. Step 4: Simplify right side
    434,126x = 450,067,898,641
  5. Step 5: Solve for x
    x = 450,067,898,641/434,126
  6. Step 6: Final answer
    x = 1,036,721.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.