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Finding the Third Proportional to 257,541.75 and 393,970.50

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Solution

The third proportional to 257,541.75 and 393,970.50 is: 602,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,541.75 : 393,970.50 = 393,970.50 : x
  2. Step 2: Convert to fraction form
    257,541.75/393,970.50 = 393,970.50/x
  3. Step 3: Cross multiply
    257,541.75x = 393,970.50 × 393,970.50
  4. Step 4: Simplify right side
    257,541.75x = 155,212,754,870.25
  5. Step 5: Solve for x
    x = 155,212,754,870.25/257,541.75
  6. Step 6: Final answer
    x = 602,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.