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Finding the Third Proportional to 249,066 and 389,153

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Solution

The third proportional to 249,066 and 389,153 is: 608,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,066 : 389,153 = 389,153 : x
  2. Step 2: Convert to fraction form
    249,066/389,153 = 389,153/x
  3. Step 3: Cross multiply
    249,066x = 389,153 × 389,153
  4. Step 4: Simplify right side
    249,066x = 151,440,057,409
  5. Step 5: Solve for x
    x = 151,440,057,409/249,066
  6. Step 6: Final answer
    x = 608,031.84

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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.