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Finding the Third Proportional to 402,297 and 554,169.50

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Solution

The third proportional to 402,297 and 554,169.50 is: 763,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,297 : 554,169.50 = 554,169.50 : x
  2. Step 2: Convert to fraction form
    402,297/554,169.50 = 554,169.50/x
  3. Step 3: Cross multiply
    402,297x = 554,169.50 × 554,169.50
  4. Step 4: Simplify right side
    402,297x = 307,103,834,730.25
  5. Step 5: Solve for x
    x = 307,103,834,730.25/402,297
  6. Step 6: Final answer
    x = 763,375.90

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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.