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Finding the Third Proportional to 286,274.25 and 621,877.50

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Solution

The third proportional to 286,274.25 and 621,877.50 is: 1,350,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274.25 : 621,877.50 = 621,877.50 : x
  2. Step 2: Convert to fraction form
    286,274.25/621,877.50 = 621,877.50/x
  3. Step 3: Cross multiply
    286,274.25x = 621,877.50 × 621,877.50
  4. Step 4: Simplify right side
    286,274.25x = 386,731,625,006.25
  5. Step 5: Solve for x
    x = 386,731,625,006.25/286,274.25
  6. Step 6: Final answer
    x = 1,350,913.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.