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Finding the Third Proportional to 153,364 and 312,986

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Solution

The third proportional to 153,364 and 312,986 is: 638,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,364 : 312,986 = 312,986 : x
  2. Step 2: Convert to fraction form
    153,364/312,986 = 312,986/x
  3. Step 3: Cross multiply
    153,364x = 312,986 × 312,986
  4. Step 4: Simplify right side
    153,364x = 97,960,236,196
  5. Step 5: Solve for x
    x = 97,960,236,196/153,364
  6. Step 6: Final answer
    x = 638,743.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.