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Finding the Third Proportional to 319,756 and 492,066

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Solution

The third proportional to 319,756 and 492,066 is: 757,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,756 : 492,066 = 492,066 : x
  2. Step 2: Convert to fraction form
    319,756/492,066 = 492,066/x
  3. Step 3: Cross multiply
    319,756x = 492,066 × 492,066
  4. Step 4: Simplify right side
    319,756x = 242,128,948,356
  5. Step 5: Solve for x
    x = 242,128,948,356/319,756
  6. Step 6: Final answer
    x = 757,230.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.