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Finding the Third Proportional to 145,935 and 319,550

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Solution

The third proportional to 145,935 and 319,550 is: 699,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,935 : 319,550 = 319,550 : x
  2. Step 2: Convert to fraction form
    145,935/319,550 = 319,550/x
  3. Step 3: Cross multiply
    145,935x = 319,550 × 319,550
  4. Step 4: Simplify right side
    145,935x = 102,112,202,500
  5. Step 5: Solve for x
    x = 102,112,202,500/145,935
  6. Step 6: Final answer
    x = 699,710.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.