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Finding the Third Proportional to 113,640 and 249,438

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Solution

The third proportional to 113,640 and 249,438 is: 547,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,640 : 249,438 = 249,438 : x
  2. Step 2: Convert to fraction form
    113,640/249,438 = 249,438/x
  3. Step 3: Cross multiply
    113,640x = 249,438 × 249,438
  4. Step 4: Simplify right side
    113,640x = 62,219,315,844
  5. Step 5: Solve for x
    x = 62,219,315,844/113,640
  6. Step 6: Final answer
    x = 547,512.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.