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Finding the Third Proportional to 142,922 and 312,502

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Solution

The third proportional to 142,922 and 312,502 is: 683,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,922 : 312,502 = 312,502 : x
  2. Step 2: Convert to fraction form
    142,922/312,502 = 312,502/x
  3. Step 3: Cross multiply
    142,922x = 312,502 × 312,502
  4. Step 4: Simplify right side
    142,922x = 97,657,500,004
  5. Step 5: Solve for x
    x = 97,657,500,004/142,922
  6. Step 6: Final answer
    x = 683,292.29

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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.