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Finding the Third Proportional to 356,784 and 489,240.50

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Solution

The third proportional to 356,784 and 489,240.50 is: 670,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,784 : 489,240.50 = 489,240.50 : x
  2. Step 2: Convert to fraction form
    356,784/489,240.50 = 489,240.50/x
  3. Step 3: Cross multiply
    356,784x = 489,240.50 × 489,240.50
  4. Step 4: Simplify right side
    356,784x = 239,356,266,840.25
  5. Step 5: Solve for x
    x = 239,356,266,840.25/356,784
  6. Step 6: Final answer
    x = 670,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.