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Finding the Third Proportional to 249,120 and 515,970

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Solution

The third proportional to 249,120 and 515,970 is: 1,068,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,120 : 515,970 = 515,970 : x
  2. Step 2: Convert to fraction form
    249,120/515,970 = 515,970/x
  3. Step 3: Cross multiply
    249,120x = 515,970 × 515,970
  4. Step 4: Simplify right side
    249,120x = 266,225,040,900
  5. Step 5: Solve for x
    x = 266,225,040,900/249,120
  6. Step 6: Final answer
    x = 1,068,661.85

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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.