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Finding the Third Proportional to 249,799 and 380,923.50

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Solution

The third proportional to 249,799 and 380,923.50 is: 580,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,799 : 380,923.50 = 380,923.50 : x
  2. Step 2: Convert to fraction form
    249,799/380,923.50 = 380,923.50/x
  3. Step 3: Cross multiply
    249,799x = 380,923.50 × 380,923.50
  4. Step 4: Simplify right side
    249,799x = 145,102,712,852.25
  5. Step 5: Solve for x
    x = 145,102,712,852.25/249,799
  6. Step 6: Final answer
    x = 580,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.