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Finding the Third Proportional to 478,970 and 751,359

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Solution

The third proportional to 478,970 and 751,359 is: 1,178,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,970 : 751,359 = 751,359 : x
  2. Step 2: Convert to fraction form
    478,970/751,359 = 751,359/x
  3. Step 3: Cross multiply
    478,970x = 751,359 × 751,359
  4. Step 4: Simplify right side
    478,970x = 564,540,346,881
  5. Step 5: Solve for x
    x = 564,540,346,881/478,970
  6. Step 6: Final answer
    x = 1,178,654.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.