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Finding the Third Proportional to 113,819 and 249,320

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Solution

The third proportional to 113,819 and 249,320 is: 546,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,819 : 249,320 = 249,320 : x
  2. Step 2: Convert to fraction form
    113,819/249,320 = 249,320/x
  3. Step 3: Cross multiply
    113,819x = 249,320 × 249,320
  4. Step 4: Simplify right side
    113,819x = 62,160,462,400
  5. Step 5: Solve for x
    x = 62,160,462,400/113,819
  6. Step 6: Final answer
    x = 546,134.32

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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.