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Finding the Third Proportional to 310,980 and 495,072

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Solution

The third proportional to 310,980 and 495,072 is: 788,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,980 : 495,072 = 495,072 : x
  2. Step 2: Convert to fraction form
    310,980/495,072 = 495,072/x
  3. Step 3: Cross multiply
    310,980x = 495,072 × 495,072
  4. Step 4: Simplify right side
    310,980x = 245,096,285,184
  5. Step 5: Solve for x
    x = 245,096,285,184/310,980
  6. Step 6: Final answer
    x = 788,141.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.