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Finding the Third Proportional to 163,406.50 and 249,811.50

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Solution

The third proportional to 163,406.50 and 249,811.50 is: 381,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,406.50 : 249,811.50 = 249,811.50 : x
  2. Step 2: Convert to fraction form
    163,406.50/249,811.50 = 249,811.50/x
  3. Step 3: Cross multiply
    163,406.50x = 249,811.50 × 249,811.50
  4. Step 4: Simplify right side
    163,406.50x = 62,405,785,532.25
  5. Step 5: Solve for x
    x = 62,405,785,532.25/163,406.50
  6. Step 6: Final answer
    x = 381,905.16

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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.