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Finding the Third Proportional to 154,428 and 333,457.50

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Solution

The third proportional to 154,428 and 333,457.50 is: 720,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,428 : 333,457.50 = 333,457.50 : x
  2. Step 2: Convert to fraction form
    154,428/333,457.50 = 333,457.50/x
  3. Step 3: Cross multiply
    154,428x = 333,457.50 × 333,457.50
  4. Step 4: Simplify right side
    154,428x = 111,193,904,306.25
  5. Step 5: Solve for x
    x = 111,193,904,306.25/154,428
  6. Step 6: Final answer
    x = 720,037.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.