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Finding the Third Proportional to 113,919 and 249,780

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Solution

The third proportional to 113,919 and 249,780 is: 547,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,919 : 249,780 = 249,780 : x
  2. Step 2: Convert to fraction form
    113,919/249,780 = 249,780/x
  3. Step 3: Cross multiply
    113,919x = 249,780 × 249,780
  4. Step 4: Simplify right side
    113,919x = 62,390,048,400
  5. Step 5: Solve for x
    x = 62,390,048,400/113,919
  6. Step 6: Final answer
    x = 547,670.26

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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.