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Finding the Third Proportional to 249,059 and 389,141

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Solution

The third proportional to 249,059 and 389,141 is: 608,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,059 : 389,141 = 389,141 : x
  2. Step 2: Convert to fraction form
    249,059/389,141 = 389,141/x
  3. Step 3: Cross multiply
    249,059x = 389,141 × 389,141
  4. Step 4: Simplify right side
    249,059x = 151,430,717,881
  5. Step 5: Solve for x
    x = 151,430,717,881/249,059
  6. Step 6: Final answer
    x = 608,011.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.