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Finding the Third Proportional to 480,840 and 707,652

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Solution

The third proportional to 480,840 and 707,652 is: 1,041,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,840 : 707,652 = 707,652 : x
  2. Step 2: Convert to fraction form
    480,840/707,652 = 707,652/x
  3. Step 3: Cross multiply
    480,840x = 707,652 × 707,652
  4. Step 4: Simplify right side
    480,840x = 500,771,353,104
  5. Step 5: Solve for x
    x = 500,771,353,104/480,840
  6. Step 6: Final answer
    x = 1,041,451.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.