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Finding the Third Proportional to 316,428 and 475,986

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Solution

The third proportional to 316,428 and 475,986 is: 716,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,428 : 475,986 = 475,986 : x
  2. Step 2: Convert to fraction form
    316,428/475,986 = 475,986/x
  3. Step 3: Cross multiply
    316,428x = 475,986 × 475,986
  4. Step 4: Simplify right side
    316,428x = 226,562,672,196
  5. Step 5: Solve for x
    x = 226,562,672,196/316,428
  6. Step 6: Final answer
    x = 716,000.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.