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Finding the Third Proportional to 121,572 and 260,153

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Solution

The third proportional to 121,572 and 260,153 is: 556,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,572 : 260,153 = 260,153 : x
  2. Step 2: Convert to fraction form
    121,572/260,153 = 260,153/x
  3. Step 3: Cross multiply
    121,572x = 260,153 × 260,153
  4. Step 4: Simplify right side
    121,572x = 67,679,583,409
  5. Step 5: Solve for x
    x = 67,679,583,409/121,572
  6. Step 6: Final answer
    x = 556,703.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.