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Finding the Third Proportional to 249,210 and 531,040

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Solution

The third proportional to 249,210 and 531,040 is: 1,131,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,210 : 531,040 = 531,040 : x
  2. Step 2: Convert to fraction form
    249,210/531,040 = 531,040/x
  3. Step 3: Cross multiply
    249,210x = 531,040 × 531,040
  4. Step 4: Simplify right side
    249,210x = 282,003,481,600
  5. Step 5: Solve for x
    x = 282,003,481,600/249,210
  6. Step 6: Final answer
    x = 1,131,589.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.