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Finding the Third Proportional to 358,973.50 and 783,143

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Solution

The third proportional to 358,973.50 and 783,143 is: 1,708,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,973.50 : 783,143 = 783,143 : x
  2. Step 2: Convert to fraction form
    358,973.50/783,143 = 783,143/x
  3. Step 3: Cross multiply
    358,973.50x = 783,143 × 783,143
  4. Step 4: Simplify right side
    358,973.50x = 613,312,958,449
  5. Step 5: Solve for x
    x = 613,312,958,449/358,973.50
  6. Step 6: Final answer
    x = 1,708,518.76

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Why These Related Problems?

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