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Finding the Third Proportional to 478,460 and 770,904

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Solution

The third proportional to 478,460 and 770,904 is: 1,242,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,460 : 770,904 = 770,904 : x
  2. Step 2: Convert to fraction form
    478,460/770,904 = 770,904/x
  3. Step 3: Cross multiply
    478,460x = 770,904 × 770,904
  4. Step 4: Simplify right side
    478,460x = 594,292,977,216
  5. Step 5: Solve for x
    x = 594,292,977,216/478,460
  6. Step 6: Final answer
    x = 1,242,095.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.