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Finding the Third Proportional to 249,030 and 355,806

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Solution

The third proportional to 249,030 and 355,806 is: 508,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,030 : 355,806 = 355,806 : x
  2. Step 2: Convert to fraction form
    249,030/355,806 = 355,806/x
  3. Step 3: Cross multiply
    249,030x = 355,806 × 355,806
  4. Step 4: Simplify right side
    249,030x = 126,597,909,636
  5. Step 5: Solve for x
    x = 126,597,909,636/249,030
  6. Step 6: Final answer
    x = 508,364.09

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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.