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Finding the Third Proportional to 286,089.75 and 420,376.50

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Solution

The third proportional to 286,089.75 and 420,376.50 is: 617,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,089.75 : 420,376.50 = 420,376.50 : x
  2. Step 2: Convert to fraction form
    286,089.75/420,376.50 = 420,376.50/x
  3. Step 3: Cross multiply
    286,089.75x = 420,376.50 × 420,376.50
  4. Step 4: Simplify right side
    286,089.75x = 176,716,401,752.25
  5. Step 5: Solve for x
    x = 176,716,401,752.25/286,089.75
  6. Step 6: Final answer
    x = 617,695.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.