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Finding the Third Proportional to 388,605.75 and 916,038.75

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Solution

The third proportional to 388,605.75 and 916,038.75 is: 2,159,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,605.75 : 916,038.75 = 916,038.75 : x
  2. Step 2: Convert to fraction form
    388,605.75/916,038.75 = 916,038.75/x
  3. Step 3: Cross multiply
    388,605.75x = 916,038.75 × 916,038.75
  4. Step 4: Simplify right side
    388,605.75x = 839,126,991,501.56
  5. Step 5: Solve for x
    x = 839,126,991,501.56/388,605.75
  6. Step 6: Final answer
    x = 2,159,327.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.