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Finding the Third Proportional to 310,875 and 494,337

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Solution

The third proportional to 310,875 and 494,337 is: 786,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,875 : 494,337 = 494,337 : x
  2. Step 2: Convert to fraction form
    310,875/494,337 = 494,337/x
  3. Step 3: Cross multiply
    310,875x = 494,337 × 494,337
  4. Step 4: Simplify right side
    310,875x = 244,369,069,569
  5. Step 5: Solve for x
    x = 244,369,069,569/310,875
  6. Step 6: Final answer
    x = 786,068.58

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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.