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Finding the Third Proportional to 249,078 and 515,877

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Solution

The third proportional to 249,078 and 515,877 is: 1,068,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,078 : 515,877 = 515,877 : x
  2. Step 2: Convert to fraction form
    249,078/515,877 = 515,877/x
  3. Step 3: Cross multiply
    249,078x = 515,877 × 515,877
  4. Step 4: Simplify right side
    249,078x = 266,129,079,129
  5. Step 5: Solve for x
    x = 266,129,079,129/249,078
  6. Step 6: Final answer
    x = 1,068,456.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.