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Finding the Third Proportional to 310,521 and 665,310

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Solution

The third proportional to 310,521 and 665,310 is: 1,425,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,521 : 665,310 = 665,310 : x
  2. Step 2: Convert to fraction form
    310,521/665,310 = 665,310/x
  3. Step 3: Cross multiply
    310,521x = 665,310 × 665,310
  4. Step 4: Simplify right side
    310,521x = 442,637,396,100
  5. Step 5: Solve for x
    x = 442,637,396,100/310,521
  6. Step 6: Final answer
    x = 1,425,466.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.