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Finding the Third Proportional to 249,880 and 386,497

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Solution

The third proportional to 249,880 and 386,497 is: 597,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,880 : 386,497 = 386,497 : x
  2. Step 2: Convert to fraction form
    249,880/386,497 = 386,497/x
  3. Step 3: Cross multiply
    249,880x = 386,497 × 386,497
  4. Step 4: Simplify right side
    249,880x = 149,379,931,009
  5. Step 5: Solve for x
    x = 149,379,931,009/249,880
  6. Step 6: Final answer
    x = 597,806.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.