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Finding the Third Proportional to 480,457.50 and 723,829.50

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Solution

The third proportional to 480,457.50 and 723,829.50 is: 1,090,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,457.50 : 723,829.50 = 723,829.50 : x
  2. Step 2: Convert to fraction form
    480,457.50/723,829.50 = 723,829.50/x
  3. Step 3: Cross multiply
    480,457.50x = 723,829.50 × 723,829.50
  4. Step 4: Simplify right side
    480,457.50x = 523,929,145,070.25
  5. Step 5: Solve for x
    x = 523,929,145,070.25/480,457.50
  6. Step 6: Final answer
    x = 1,090,479.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.