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Finding the Third Proportional to 276,871 and 604,988

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Solution

The third proportional to 276,871 and 604,988 is: 1,321,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871 : 604,988 = 604,988 : x
  2. Step 2: Convert to fraction form
    276,871/604,988 = 604,988/x
  3. Step 3: Cross multiply
    276,871x = 604,988 × 604,988
  4. Step 4: Simplify right side
    276,871x = 366,010,480,144
  5. Step 5: Solve for x
    x = 366,010,480,144/276,871
  6. Step 6: Final answer
    x = 1,321,953.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.