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Finding the Third Proportional to 249,810 and 380,964

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Solution

The third proportional to 249,810 and 380,964 is: 580,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,810 : 380,964 = 380,964 : x
  2. Step 2: Convert to fraction form
    249,810/380,964 = 380,964/x
  3. Step 3: Cross multiply
    249,810x = 380,964 × 380,964
  4. Step 4: Simplify right side
    249,810x = 145,133,569,296
  5. Step 5: Solve for x
    x = 145,133,569,296/249,810
  6. Step 6: Final answer
    x = 580,975.82

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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.