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Finding the Third Proportional to 121,603.78 and 249,221.81

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Solution

The third proportional to 121,603.78 and 249,221.81 is: 510,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,603.78 : 249,221.81 = 249,221.81 : x
  2. Step 2: Convert to fraction form
    121,603.78/249,221.81 = 249,221.81/x
  3. Step 3: Cross multiply
    121,603.78x = 249,221.81 × 249,221.81
  4. Step 4: Simplify right side
    121,603.78x = 62,111,511,825.79
  5. Step 5: Solve for x
    x = 62,111,511,825.79/121,603.78
  6. Step 6: Final answer
    x = 510,769.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.