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Finding the Third Proportional to 485,678 and 723,535

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Solution

The third proportional to 485,678 and 723,535 is: 1,077,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,678 : 723,535 = 723,535 : x
  2. Step 2: Convert to fraction form
    485,678/723,535 = 723,535/x
  3. Step 3: Cross multiply
    485,678x = 723,535 × 723,535
  4. Step 4: Simplify right side
    485,678x = 523,502,896,225
  5. Step 5: Solve for x
    x = 523,502,896,225/485,678
  6. Step 6: Final answer
    x = 1,077,880.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.