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Finding the Third Proportional to 322,425 and 500,926.50

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Solution

The third proportional to 322,425 and 500,926.50 is: 778,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,425 : 500,926.50 = 500,926.50 : x
  2. Step 2: Convert to fraction form
    322,425/500,926.50 = 500,926.50/x
  3. Step 3: Cross multiply
    322,425x = 500,926.50 × 500,926.50
  4. Step 4: Simplify right side
    322,425x = 250,927,358,402.25
  5. Step 5: Solve for x
    x = 250,927,358,402.25/322,425
  6. Step 6: Final answer
    x = 778,250.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.