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Finding the Third Proportional to 458,420 and 700,807

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Solution

The third proportional to 458,420 and 700,807 is: 1,071,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,420 : 700,807 = 700,807 : x
  2. Step 2: Convert to fraction form
    458,420/700,807 = 700,807/x
  3. Step 3: Cross multiply
    458,420x = 700,807 × 700,807
  4. Step 4: Simplify right side
    458,420x = 491,130,451,249
  5. Step 5: Solve for x
    x = 491,130,451,249/458,420
  6. Step 6: Final answer
    x = 1,071,354.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.