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Finding the Third Proportional to 249,570 and 353,130.75

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Solution

The third proportional to 249,570 and 353,130.75 is: 499,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,570 : 353,130.75 = 353,130.75 : x
  2. Step 2: Convert to fraction form
    249,570/353,130.75 = 353,130.75/x
  3. Step 3: Cross multiply
    249,570x = 353,130.75 × 353,130.75
  4. Step 4: Simplify right side
    249,570x = 124,701,326,595.56
  5. Step 5: Solve for x
    x = 124,701,326,595.56/249,570
  6. Step 6: Final answer
    x = 499,664.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.