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Finding the Third Proportional to 142,592 and 306,240

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Solution

The third proportional to 142,592 and 306,240 is: 657,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,592 : 306,240 = 306,240 : x
  2. Step 2: Convert to fraction form
    142,592/306,240 = 306,240/x
  3. Step 3: Cross multiply
    142,592x = 306,240 × 306,240
  4. Step 4: Simplify right side
    142,592x = 93,782,937,600
  5. Step 5: Solve for x
    x = 93,782,937,600/142,592
  6. Step 6: Final answer
    x = 657,701.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.