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Finding the Third Proportional to 437,298 and 657,297

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Solution

The third proportional to 437,298 and 657,297 is: 987,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,298 : 657,297 = 657,297 : x
  2. Step 2: Convert to fraction form
    437,298/657,297 = 657,297/x
  3. Step 3: Cross multiply
    437,298x = 657,297 × 657,297
  4. Step 4: Simplify right side
    437,298x = 432,039,346,209
  5. Step 5: Solve for x
    x = 432,039,346,209/437,298
  6. Step 6: Final answer
    x = 987,974.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.