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Finding the Third Proportional to 249,068 and 515,859

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Solution

The third proportional to 249,068 and 515,859 is: 1,068,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,068 : 515,859 = 515,859 : x
  2. Step 2: Convert to fraction form
    249,068/515,859 = 515,859/x
  3. Step 3: Cross multiply
    249,068x = 515,859 × 515,859
  4. Step 4: Simplify right side
    249,068x = 266,110,507,881
  5. Step 5: Solve for x
    x = 266,110,507,881/249,068
  6. Step 6: Final answer
    x = 1,068,425.12

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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.