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Finding the Third Proportional to 357,699.80 and 778,606.17

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Solution

The third proportional to 357,699.80 and 778,606.17 is: 1,694,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,699.80 : 778,606.17 = 778,606.17 : x
  2. Step 2: Convert to fraction form
    357,699.80/778,606.17 = 778,606.17/x
  3. Step 3: Cross multiply
    357,699.80x = 778,606.17 × 778,606.17
  4. Step 4: Simplify right side
    357,699.80x = 606,227,570,881.84
  5. Step 5: Solve for x
    x = 606,227,570,881.84/357,699.80
  6. Step 6: Final answer
    x = 1,694,794.28

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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.