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Finding the Third Proportional to 434,127 and 670,872

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Solution

The third proportional to 434,127 and 670,872 is: 1,036,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,127 : 670,872 = 670,872 : x
  2. Step 2: Convert to fraction form
    434,127/670,872 = 670,872/x
  3. Step 3: Cross multiply
    434,127x = 670,872 × 670,872
  4. Step 4: Simplify right side
    434,127x = 450,069,240,384
  5. Step 5: Solve for x
    x = 450,069,240,384/434,127
  6. Step 6: Final answer
    x = 1,036,722.53

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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.