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Finding the Third Proportional to 357,897 and 778,773

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Solution

The third proportional to 357,897 and 778,773 is: 1,694,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897 : 778,773 = 778,773 : x
  2. Step 2: Convert to fraction form
    357,897/778,773 = 778,773/x
  3. Step 3: Cross multiply
    357,897x = 778,773 × 778,773
  4. Step 4: Simplify right side
    357,897x = 606,487,385,529
  5. Step 5: Solve for x
    x = 606,487,385,529/357,897
  6. Step 6: Final answer
    x = 1,694,586.39

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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.