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Finding the Third Proportional to 516,978 and 772,371

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Solution

The third proportional to 516,978 and 772,371 is: 1,153,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,978 : 772,371 = 772,371 : x
  2. Step 2: Convert to fraction form
    516,978/772,371 = 772,371/x
  3. Step 3: Cross multiply
    516,978x = 772,371 × 772,371
  4. Step 4: Simplify right side
    516,978x = 596,556,961,641
  5. Step 5: Solve for x
    x = 596,556,961,641/516,978
  6. Step 6: Final answer
    x = 1,153,931.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.