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Finding the Third Proportional to 307,900 and 671,528

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Solution

The third proportional to 307,900 and 671,528 is: 1,464,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,900 : 671,528 = 671,528 : x
  2. Step 2: Convert to fraction form
    307,900/671,528 = 671,528/x
  3. Step 3: Cross multiply
    307,900x = 671,528 × 671,528
  4. Step 4: Simplify right side
    307,900x = 450,949,854,784
  5. Step 5: Solve for x
    x = 450,949,854,784/307,900
  6. Step 6: Final answer
    x = 1,464,598.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.