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Finding the Third Proportional to 233,610 and 334,060.50

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Solution

The third proportional to 233,610 and 334,060.50 is: 477,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,610 : 334,060.50 = 334,060.50 : x
  2. Step 2: Convert to fraction form
    233,610/334,060.50 = 334,060.50/x
  3. Step 3: Cross multiply
    233,610x = 334,060.50 × 334,060.50
  4. Step 4: Simplify right side
    233,610x = 111,596,417,660.25
  5. Step 5: Solve for x
    x = 111,596,417,660.25/233,610
  6. Step 6: Final answer
    x = 477,703.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.