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Finding the Third Proportional to 142,459.75 and 304,683.50

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Solution

The third proportional to 142,459.75 and 304,683.50 is: 651,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,459.75 : 304,683.50 = 304,683.50 : x
  2. Step 2: Convert to fraction form
    142,459.75/304,683.50 = 304,683.50/x
  3. Step 3: Cross multiply
    142,459.75x = 304,683.50 × 304,683.50
  4. Step 4: Simplify right side
    142,459.75x = 92,832,035,172.25
  5. Step 5: Solve for x
    x = 92,832,035,172.25/142,459.75
  6. Step 6: Final answer
    x = 651,636.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.