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Finding the Third Proportional to 282,179,425.50 and 389,920,662

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Solution

The third proportional to 282,179,425.50 and 389,920,662 is: 538,799,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,179,425.50 : 389,920,662 = 389,920,662 : x
  2. Step 2: Convert to fraction form
    282,179,425.50/389,920,662 = 389,920,662/x
  3. Step 3: Cross multiply
    282,179,425.50x = 389,920,662 × 389,920,662
  4. Step 4: Simplify right side
    282,179,425.50x = 152,038,122,654,518,240
  5. Step 5: Solve for x
    x = 152,038,122,654,518,240/282,179,425.50
  6. Step 6: Final answer
    x = 538,799,462.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.