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Finding the Third Proportional to 249,939 and 356,211

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Solution

The third proportional to 249,939 and 356,211 is: 507,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,939 : 356,211 = 356,211 : x
  2. Step 2: Convert to fraction form
    249,939/356,211 = 356,211/x
  3. Step 3: Cross multiply
    249,939x = 356,211 × 356,211
  4. Step 4: Simplify right side
    249,939x = 126,886,276,521
  5. Step 5: Solve for x
    x = 126,886,276,521/249,939
  6. Step 6: Final answer
    x = 507,668.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.