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Finding the Third Proportional to 357,905 and 778,789

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Solution

The third proportional to 357,905 and 778,789 is: 1,694,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,905 : 778,789 = 778,789 : x
  2. Step 2: Convert to fraction form
    357,905/778,789 = 778,789/x
  3. Step 3: Cross multiply
    357,905x = 778,789 × 778,789
  4. Step 4: Simplify right side
    357,905x = 606,512,306,521
  5. Step 5: Solve for x
    x = 606,512,306,521/357,905
  6. Step 6: Final answer
    x = 1,694,618.14

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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.