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Finding the Third Proportional to 78,507 and 121,289

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Solution

The third proportional to 78,507 and 121,289 is: 187,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507 : 121,289 = 121,289 : x
  2. Step 2: Convert to fraction form
    78,507/121,289 = 121,289/x
  3. Step 3: Cross multiply
    78,507x = 121,289 × 121,289
  4. Step 4: Simplify right side
    78,507x = 14,711,021,521
  5. Step 5: Solve for x
    x = 14,711,021,521/78,507
  6. Step 6: Final answer
    x = 187,384.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.