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Finding the Third Proportional to 310,300 and 482,457

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Solution

The third proportional to 310,300 and 482,457 is: 750,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,300 : 482,457 = 482,457 : x
  2. Step 2: Convert to fraction form
    310,300/482,457 = 482,457/x
  3. Step 3: Cross multiply
    310,300x = 482,457 × 482,457
  4. Step 4: Simplify right side
    310,300x = 232,764,756,849
  5. Step 5: Solve for x
    x = 232,764,756,849/310,300
  6. Step 6: Final answer
    x = 750,128.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.