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Finding the Third Proportional to 354,053 and 778,090

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Solution

The third proportional to 354,053 and 778,090 is: 1,709,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,053 : 778,090 = 778,090 : x
  2. Step 2: Convert to fraction form
    354,053/778,090 = 778,090/x
  3. Step 3: Cross multiply
    354,053x = 778,090 × 778,090
  4. Step 4: Simplify right side
    354,053x = 605,424,048,100
  5. Step 5: Solve for x
    x = 605,424,048,100/354,053
  6. Step 6: Final answer
    x = 1,709,981.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.