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Finding the Third Proportional to 307,522 and 665,587

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Solution

The third proportional to 307,522 and 665,587 is: 1,440,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,522 : 665,587 = 665,587 : x
  2. Step 2: Convert to fraction form
    307,522/665,587 = 665,587/x
  3. Step 3: Cross multiply
    307,522x = 665,587 × 665,587
  4. Step 4: Simplify right side
    307,522x = 443,006,054,569
  5. Step 5: Solve for x
    x = 443,006,054,569/307,522
  6. Step 6: Final answer
    x = 1,440,567.03

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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.