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Finding the Third Proportional to 122,300 and 249,784

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Solution

The third proportional to 122,300 and 249,784 is: 510,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,300 : 249,784 = 249,784 : x
  2. Step 2: Convert to fraction form
    122,300/249,784 = 249,784/x
  3. Step 3: Cross multiply
    122,300x = 249,784 × 249,784
  4. Step 4: Simplify right side
    122,300x = 62,392,046,656
  5. Step 5: Solve for x
    x = 62,392,046,656/122,300
  6. Step 6: Final answer
    x = 510,155.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.