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Finding the Third Proportional to 288,825.75 and 448,980.47

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Solution

The third proportional to 288,825.75 and 448,980.47 is: 697,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,825.75 : 448,980.47 = 448,980.47 : x
  2. Step 2: Convert to fraction form
    288,825.75/448,980.47 = 448,980.47/x
  3. Step 3: Cross multiply
    288,825.75x = 448,980.47 × 448,980.47
  4. Step 4: Simplify right side
    288,825.75x = 201,583,461,318.97
  5. Step 5: Solve for x
    x = 201,583,461,318.97/288,825.75
  6. Step 6: Final answer
    x = 697,941.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.