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Finding the Third Proportional to 578,848 and 905,312

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Solution

The third proportional to 578,848 and 905,312 is: 1,415,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,848 : 905,312 = 905,312 : x
  2. Step 2: Convert to fraction form
    578,848/905,312 = 905,312/x
  3. Step 3: Cross multiply
    578,848x = 905,312 × 905,312
  4. Step 4: Simplify right side
    578,848x = 819,589,817,344
  5. Step 5: Solve for x
    x = 819,589,817,344/578,848
  6. Step 6: Final answer
    x = 1,415,898.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.