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Finding the Third Proportional to 310,527 and 665,322

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Solution

The third proportional to 310,527 and 665,322 is: 1,425,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,527 : 665,322 = 665,322 : x
  2. Step 2: Convert to fraction form
    310,527/665,322 = 665,322/x
  3. Step 3: Cross multiply
    310,527x = 665,322 × 665,322
  4. Step 4: Simplify right side
    310,527x = 442,653,363,684
  5. Step 5: Solve for x
    x = 442,653,363,684/310,527
  6. Step 6: Final answer
    x = 1,425,490.74

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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.