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Finding the Third Proportional to 356,567.50 and 778,640.50

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Solution

The third proportional to 356,567.50 and 778,640.50 is: 1,700,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,567.50 : 778,640.50 = 778,640.50 : x
  2. Step 2: Convert to fraction form
    356,567.50/778,640.50 = 778,640.50/x
  3. Step 3: Cross multiply
    356,567.50x = 778,640.50 × 778,640.50
  4. Step 4: Simplify right side
    356,567.50x = 606,281,028,240.25
  5. Step 5: Solve for x
    x = 606,281,028,240.25/356,567.50
  6. Step 6: Final answer
    x = 1,700,326.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.