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Finding the Third Proportional to 369,135 and 578,305.50

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Solution

The third proportional to 369,135 and 578,305.50 is: 906,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,135 : 578,305.50 = 578,305.50 : x
  2. Step 2: Convert to fraction form
    369,135/578,305.50 = 578,305.50/x
  3. Step 3: Cross multiply
    369,135x = 578,305.50 × 578,305.50
  4. Step 4: Simplify right side
    369,135x = 334,437,251,330.25
  5. Step 5: Solve for x
    x = 334,437,251,330.25/369,135
  6. Step 6: Final answer
    x = 906,002.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.