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Finding the Third Proportional to 136,507 and 206,669

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Solution

The third proportional to 136,507 and 206,669 is: 312,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,507 : 206,669 = 206,669 : x
  2. Step 2: Convert to fraction form
    136,507/206,669 = 206,669/x
  3. Step 3: Cross multiply
    136,507x = 206,669 × 206,669
  4. Step 4: Simplify right side
    136,507x = 42,712,075,561
  5. Step 5: Solve for x
    x = 42,712,075,561/136,507
  6. Step 6: Final answer
    x = 312,892.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.