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Finding the Third Proportional to 249,799 and 380,955

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Solution

The third proportional to 249,799 and 380,955 is: 580,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,799 : 380,955 = 380,955 : x
  2. Step 2: Convert to fraction form
    249,799/380,955 = 380,955/x
  3. Step 3: Cross multiply
    249,799x = 380,955 × 380,955
  4. Step 4: Simplify right side
    249,799x = 145,126,712,025
  5. Step 5: Solve for x
    x = 145,126,712,025/249,799
  6. Step 6: Final answer
    x = 580,973.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.