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Finding the Third Proportional to 249,069 and 515,863

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Solution

The third proportional to 249,069 and 515,863 is: 1,068,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,069 : 515,863 = 515,863 : x
  2. Step 2: Convert to fraction form
    249,069/515,863 = 515,863/x
  3. Step 3: Cross multiply
    249,069x = 515,863 × 515,863
  4. Step 4: Simplify right side
    249,069x = 266,114,634,769
  5. Step 5: Solve for x
    x = 266,114,634,769/249,069
  6. Step 6: Final answer
    x = 1,068,437.40

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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.