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Finding the Third Proportional to 142,925 and 312,508

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Solution

The third proportional to 142,925 and 312,508 is: 683,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,925 : 312,508 = 312,508 : x
  2. Step 2: Convert to fraction form
    142,925/312,508 = 312,508/x
  3. Step 3: Cross multiply
    142,925x = 312,508 × 312,508
  4. Step 4: Simplify right side
    142,925x = 97,661,250,064
  5. Step 5: Solve for x
    x = 97,661,250,064/142,925
  6. Step 6: Final answer
    x = 683,304.18

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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.