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Finding the Third Proportional to 145,703 and 312,142

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Solution

The third proportional to 145,703 and 312,142 is: 668,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,703 : 312,142 = 312,142 : x
  2. Step 2: Convert to fraction form
    145,703/312,142 = 312,142/x
  3. Step 3: Cross multiply
    145,703x = 312,142 × 312,142
  4. Step 4: Simplify right side
    145,703x = 97,432,628,164
  5. Step 5: Solve for x
    x = 97,432,628,164/145,703
  6. Step 6: Final answer
    x = 668,707.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.