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Finding the Third Proportional to 311,498 and 473,403

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Solution

The third proportional to 311,498 and 473,403 is: 719,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,498 : 473,403 = 473,403 : x
  2. Step 2: Convert to fraction form
    311,498/473,403 = 473,403/x
  3. Step 3: Cross multiply
    311,498x = 473,403 × 473,403
  4. Step 4: Simplify right side
    311,498x = 224,110,400,409
  5. Step 5: Solve for x
    x = 224,110,400,409/311,498
  6. Step 6: Final answer
    x = 719,460.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.