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Finding the Third Proportional to 310,257 and 493,975.50

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Solution

The third proportional to 310,257 and 493,975.50 is: 786,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,257 : 493,975.50 = 493,975.50 : x
  2. Step 2: Convert to fraction form
    310,257/493,975.50 = 493,975.50/x
  3. Step 3: Cross multiply
    310,257x = 493,975.50 × 493,975.50
  4. Step 4: Simplify right side
    310,257x = 244,011,794,600.25
  5. Step 5: Solve for x
    x = 244,011,794,600.25/310,257
  6. Step 6: Final answer
    x = 786,482.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.