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Finding the Third Proportional to 307,528 and 665,600

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Solution

The third proportional to 307,528 and 665,600 is: 1,440,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,528 : 665,600 = 665,600 : x
  2. Step 2: Convert to fraction form
    307,528/665,600 = 665,600/x
  3. Step 3: Cross multiply
    307,528x = 665,600 × 665,600
  4. Step 4: Simplify right side
    307,528x = 443,023,360,000
  5. Step 5: Solve for x
    x = 443,023,360,000/307,528
  6. Step 6: Final answer
    x = 1,440,595.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.