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Finding the Third Proportional to 310,316 and 442,935

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Solution

The third proportional to 310,316 and 442,935 is: 632,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,316 : 442,935 = 442,935 : x
  2. Step 2: Convert to fraction form
    310,316/442,935 = 442,935/x
  3. Step 3: Cross multiply
    310,316x = 442,935 × 442,935
  4. Step 4: Simplify right side
    310,316x = 196,191,414,225
  5. Step 5: Solve for x
    x = 196,191,414,225/310,316
  6. Step 6: Final answer
    x = 632,231.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.