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Finding the Third Proportional to 142,578 and 307,752

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Solution

The third proportional to 142,578 and 307,752 is: 664,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578 : 307,752 = 307,752 : x
  2. Step 2: Convert to fraction form
    142,578/307,752 = 307,752/x
  3. Step 3: Cross multiply
    142,578x = 307,752 × 307,752
  4. Step 4: Simplify right side
    142,578x = 94,711,293,504
  5. Step 5: Solve for x
    x = 94,711,293,504/142,578
  6. Step 6: Final answer
    x = 664,277.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.