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Finding the Third Proportional to 145,935 and 314,631

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Solution

The third proportional to 145,935 and 314,631 is: 678,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,935 : 314,631 = 314,631 : x
  2. Step 2: Convert to fraction form
    145,935/314,631 = 314,631/x
  3. Step 3: Cross multiply
    145,935x = 314,631 × 314,631
  4. Step 4: Simplify right side
    145,935x = 98,992,666,161
  5. Step 5: Solve for x
    x = 98,992,666,161/145,935
  6. Step 6: Final answer
    x = 678,333.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.