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Finding the Third Proportional to 115,116 and 249,438

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Solution

The third proportional to 115,116 and 249,438 is: 540,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,116 : 249,438 = 249,438 : x
  2. Step 2: Convert to fraction form
    115,116/249,438 = 249,438/x
  3. Step 3: Cross multiply
    115,116x = 249,438 × 249,438
  4. Step 4: Simplify right side
    115,116x = 62,219,315,844
  5. Step 5: Solve for x
    x = 62,219,315,844/115,116
  6. Step 6: Final answer
    x = 540,492.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.