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Finding the Third Proportional to 142,535 and 307,669

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Solution

The third proportional to 142,535 and 307,669 is: 664,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,535 : 307,669 = 307,669 : x
  2. Step 2: Convert to fraction form
    142,535/307,669 = 307,669/x
  3. Step 3: Cross multiply
    142,535x = 307,669 × 307,669
  4. Step 4: Simplify right side
    142,535x = 94,660,213,561
  5. Step 5: Solve for x
    x = 94,660,213,561/142,535
  6. Step 6: Final answer
    x = 664,119.08

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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.