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Finding the Third Proportional to 319,720 and 477,386

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Solution

The third proportional to 319,720 and 477,386 is: 712,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,720 : 477,386 = 477,386 : x
  2. Step 2: Convert to fraction form
    319,720/477,386 = 477,386/x
  3. Step 3: Cross multiply
    319,720x = 477,386 × 477,386
  4. Step 4: Simplify right side
    319,720x = 227,897,392,996
  5. Step 5: Solve for x
    x = 227,897,392,996/319,720
  6. Step 6: Final answer
    x = 712,803.06

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Why These Related Problems?

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