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Finding the Third Proportional to 163,211 and 249,681

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Solution

The third proportional to 163,211 and 249,681 is: 381,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,211 : 249,681 = 249,681 : x
  2. Step 2: Convert to fraction form
    163,211/249,681 = 249,681/x
  3. Step 3: Cross multiply
    163,211x = 249,681 × 249,681
  4. Step 4: Simplify right side
    163,211x = 62,340,601,761
  5. Step 5: Solve for x
    x = 62,340,601,761/163,211
  6. Step 6: Final answer
    x = 381,963.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.