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Finding the Third Proportional to 478,766 and 742,343

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Solution

The third proportional to 478,766 and 742,343 is: 1,151,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,766 : 742,343 = 742,343 : x
  2. Step 2: Convert to fraction form
    478,766/742,343 = 742,343/x
  3. Step 3: Cross multiply
    478,766x = 742,343 × 742,343
  4. Step 4: Simplify right side
    478,766x = 551,073,129,649
  5. Step 5: Solve for x
    x = 551,073,129,649/478,766
  6. Step 6: Final answer
    x = 1,151,028.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.