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Finding the Third Proportional to 121,737 and 265,617

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Solution

The third proportional to 121,737 and 265,617 is: 579,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,737 : 265,617 = 265,617 : x
  2. Step 2: Convert to fraction form
    121,737/265,617 = 265,617/x
  3. Step 3: Cross multiply
    121,737x = 265,617 × 265,617
  4. Step 4: Simplify right side
    121,737x = 70,552,390,689
  5. Step 5: Solve for x
    x = 70,552,390,689/121,737
  6. Step 6: Final answer
    x = 579,547.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.