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Finding the Third Proportional to 153,450 and 334,777.50

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Solution

The third proportional to 153,450 and 334,777.50 is: 730,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,450 : 334,777.50 = 334,777.50 : x
  2. Step 2: Convert to fraction form
    153,450/334,777.50 = 334,777.50/x
  3. Step 3: Cross multiply
    153,450x = 334,777.50 × 334,777.50
  4. Step 4: Simplify right side
    153,450x = 112,075,974,506.25
  5. Step 5: Solve for x
    x = 112,075,974,506.25/153,450
  6. Step 6: Final answer
    x = 730,374.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.