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Finding the Third Proportional to 402,044 and 621,959.25

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Solution

The third proportional to 402,044 and 621,959.25 is: 962,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,044 : 621,959.25 = 621,959.25 : x
  2. Step 2: Convert to fraction form
    402,044/621,959.25 = 621,959.25/x
  3. Step 3: Cross multiply
    402,044x = 621,959.25 × 621,959.25
  4. Step 4: Simplify right side
    402,044x = 386,833,308,660.56
  5. Step 5: Solve for x
    x = 386,833,308,660.56/402,044
  6. Step 6: Final answer
    x = 962,166.60

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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.