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Finding the Third Proportional to 249,462 and 513,630

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Solution

The third proportional to 249,462 and 513,630 is: 1,057,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,462 : 513,630 = 513,630 : x
  2. Step 2: Convert to fraction form
    249,462/513,630 = 513,630/x
  3. Step 3: Cross multiply
    249,462x = 513,630 × 513,630
  4. Step 4: Simplify right side
    249,462x = 263,815,776,900
  5. Step 5: Solve for x
    x = 263,815,776,900/249,462
  6. Step 6: Final answer
    x = 1,057,538.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.