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Finding the Third Proportional to 357,896 and 778,770

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Solution

The third proportional to 357,896 and 778,770 is: 1,694,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896 : 778,770 = 778,770 : x
  2. Step 2: Convert to fraction form
    357,896/778,770 = 778,770/x
  3. Step 3: Cross multiply
    357,896x = 778,770 × 778,770
  4. Step 4: Simplify right side
    357,896x = 606,482,712,900
  5. Step 5: Solve for x
    x = 606,482,712,900/357,896
  6. Step 6: Final answer
    x = 1,694,578.07

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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.