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Finding the Third Proportional to 249,947 and 539,818

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Solution

The third proportional to 249,947 and 539,818 is: 1,165,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,947 : 539,818 = 539,818 : x
  2. Step 2: Convert to fraction form
    249,947/539,818 = 539,818/x
  3. Step 3: Cross multiply
    249,947x = 539,818 × 539,818
  4. Step 4: Simplify right side
    249,947x = 291,403,473,124
  5. Step 5: Solve for x
    x = 291,403,473,124/249,947
  6. Step 6: Final answer
    x = 1,165,861.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.