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Finding the Third Proportional to 121,764 and 260,335

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Solution

The third proportional to 121,764 and 260,335 is: 556,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,764 : 260,335 = 260,335 : x
  2. Step 2: Convert to fraction form
    121,764/260,335 = 260,335/x
  3. Step 3: Cross multiply
    121,764x = 260,335 × 260,335
  4. Step 4: Simplify right side
    121,764x = 67,774,312,225
  5. Step 5: Solve for x
    x = 67,774,312,225/121,764
  6. Step 6: Final answer
    x = 556,603.86

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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.