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Finding the Third Proportional to 307,968.75 and 411,952.50

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Solution

The third proportional to 307,968.75 and 411,952.50 is: 551,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968.75 : 411,952.50 = 411,952.50 : x
  2. Step 2: Convert to fraction form
    307,968.75/411,952.50 = 411,952.50/x
  3. Step 3: Cross multiply
    307,968.75x = 411,952.50 × 411,952.50
  4. Step 4: Simplify right side
    307,968.75x = 169,704,862,256.25
  5. Step 5: Solve for x
    x = 169,704,862,256.25/307,968.75
  6. Step 6: Final answer
    x = 551,045.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.