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Finding the Third Proportional to 634,808 and 842,484

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Solution

The third proportional to 634,808 and 842,484 is: 1,118,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,808 : 842,484 = 842,484 : x
  2. Step 2: Convert to fraction form
    634,808/842,484 = 842,484/x
  3. Step 3: Cross multiply
    634,808x = 842,484 × 842,484
  4. Step 4: Simplify right side
    634,808x = 709,779,290,256
  5. Step 5: Solve for x
    x = 709,779,290,256/634,808
  6. Step 6: Final answer
    x = 1,118,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.