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Finding the Third Proportional to 119,316 and 257,313

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Solution

The third proportional to 119,316 and 257,313 is: 554,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,316 : 257,313 = 257,313 : x
  2. Step 2: Convert to fraction form
    119,316/257,313 = 257,313/x
  3. Step 3: Cross multiply
    119,316x = 257,313 × 257,313
  4. Step 4: Simplify right side
    119,316x = 66,209,979,969
  5. Step 5: Solve for x
    x = 66,209,979,969/119,316
  6. Step 6: Final answer
    x = 554,912.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.