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Finding the Third Proportional to 412,858 and 634,776

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Solution

The third proportional to 412,858 and 634,776 is: 975,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,858 : 634,776 = 634,776 : x
  2. Step 2: Convert to fraction form
    412,858/634,776 = 634,776/x
  3. Step 3: Cross multiply
    412,858x = 634,776 × 634,776
  4. Step 4: Simplify right side
    412,858x = 402,940,570,176
  5. Step 5: Solve for x
    x = 402,940,570,176/412,858
  6. Step 6: Final answer
    x = 975,978.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.