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Finding the Third Proportional to 318,428 and 511,319

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Solution

The third proportional to 318,428 and 511,319 is: 821,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,428 : 511,319 = 511,319 : x
  2. Step 2: Convert to fraction form
    318,428/511,319 = 511,319/x
  3. Step 3: Cross multiply
    318,428x = 511,319 × 511,319
  4. Step 4: Simplify right side
    318,428x = 261,447,119,761
  5. Step 5: Solve for x
    x = 261,447,119,761/318,428
  6. Step 6: Final answer
    x = 821,055.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.