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Finding the Third Proportional to 388,363 and 524,702

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Solution

The third proportional to 388,363 and 524,702 is: 708,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,363 : 524,702 = 524,702 : x
  2. Step 2: Convert to fraction form
    388,363/524,702 = 524,702/x
  3. Step 3: Cross multiply
    388,363x = 524,702 × 524,702
  4. Step 4: Simplify right side
    388,363x = 275,312,188,804
  5. Step 5: Solve for x
    x = 275,312,188,804/388,363
  6. Step 6: Final answer
    x = 708,904.27

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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.