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Finding the Third Proportional to 326,813 and 499,623

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Solution

The third proportional to 326,813 and 499,623 is: 763,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,813 : 499,623 = 499,623 : x
  2. Step 2: Convert to fraction form
    326,813/499,623 = 499,623/x
  3. Step 3: Cross multiply
    326,813x = 499,623 × 499,623
  4. Step 4: Simplify right side
    326,813x = 249,623,142,129
  5. Step 5: Solve for x
    x = 249,623,142,129/326,813
  6. Step 6: Final answer
    x = 763,810.32

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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.