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Finding the Third Proportional to 131,710 and 288,507

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Solution

The third proportional to 131,710 and 288,507 is: 631,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,710 : 288,507 = 288,507 : x
  2. Step 2: Convert to fraction form
    131,710/288,507 = 288,507/x
  3. Step 3: Cross multiply
    131,710x = 288,507 × 288,507
  4. Step 4: Simplify right side
    131,710x = 83,236,289,049
  5. Step 5: Solve for x
    x = 83,236,289,049/131,710
  6. Step 6: Final answer
    x = 631,966.36

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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.