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Finding the Third Proportional to 313,281 and 504,428

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Solution

The third proportional to 313,281 and 504,428 is: 812,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,281 : 504,428 = 504,428 : x
  2. Step 2: Convert to fraction form
    313,281/504,428 = 504,428/x
  3. Step 3: Cross multiply
    313,281x = 504,428 × 504,428
  4. Step 4: Simplify right side
    313,281x = 254,447,607,184
  5. Step 5: Solve for x
    x = 254,447,607,184/313,281
  6. Step 6: Final answer
    x = 812,202.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.