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Finding the Third Proportional to 143,746 and 312,358

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Solution

The third proportional to 143,746 and 312,358 is: 678,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,746 : 312,358 = 312,358 : x
  2. Step 2: Convert to fraction form
    143,746/312,358 = 312,358/x
  3. Step 3: Cross multiply
    143,746x = 312,358 × 312,358
  4. Step 4: Simplify right side
    143,746x = 97,567,520,164
  5. Step 5: Solve for x
    x = 97,567,520,164/143,746
  6. Step 6: Final answer
    x = 678,749.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.