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Finding the Third Proportional to 388,430 and 524,802

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Solution

The third proportional to 388,430 and 524,802 is: 709,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,430 : 524,802 = 524,802 : x
  2. Step 2: Convert to fraction form
    388,430/524,802 = 524,802/x
  3. Step 3: Cross multiply
    388,430x = 524,802 × 524,802
  4. Step 4: Simplify right side
    388,430x = 275,417,139,204
  5. Step 5: Solve for x
    x = 275,417,139,204/388,430
  6. Step 6: Final answer
    x = 709,052.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.