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Finding the Third Proportional to 115,119 and 249,151

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Solution

The third proportional to 115,119 and 249,151 is: 539,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,119 : 249,151 = 249,151 : x
  2. Step 2: Convert to fraction form
    115,119/249,151 = 249,151/x
  3. Step 3: Cross multiply
    115,119x = 249,151 × 249,151
  4. Step 4: Simplify right side
    115,119x = 62,076,220,801
  5. Step 5: Solve for x
    x = 62,076,220,801/115,119
  6. Step 6: Final answer
    x = 539,235.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.