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Finding the Third Proportional to 257,145 and 385,464

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Solution

The third proportional to 257,145 and 385,464 is: 577,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,145 : 385,464 = 385,464 : x
  2. Step 2: Convert to fraction form
    257,145/385,464 = 385,464/x
  3. Step 3: Cross multiply
    257,145x = 385,464 × 385,464
  4. Step 4: Simplify right side
    257,145x = 148,582,495,296
  5. Step 5: Solve for x
    x = 148,582,495,296/257,145
  6. Step 6: Final answer
    x = 577,816.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.