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Finding the Third Proportional to 239,172 and 507,498

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Solution

The third proportional to 239,172 and 507,498 is: 1,076,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,172 : 507,498 = 507,498 : x
  2. Step 2: Convert to fraction form
    239,172/507,498 = 507,498/x
  3. Step 3: Cross multiply
    239,172x = 507,498 × 507,498
  4. Step 4: Simplify right side
    239,172x = 257,554,220,004
  5. Step 5: Solve for x
    x = 257,554,220,004/239,172
  6. Step 6: Final answer
    x = 1,076,857.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.