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Finding the Third Proportional to 297,465 and 653,979

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Solution

The third proportional to 297,465 and 653,979 is: 1,437,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,465 : 653,979 = 653,979 : x
  2. Step 2: Convert to fraction form
    297,465/653,979 = 653,979/x
  3. Step 3: Cross multiply
    297,465x = 653,979 × 653,979
  4. Step 4: Simplify right side
    297,465x = 427,688,532,441
  5. Step 5: Solve for x
    x = 427,688,532,441/297,465
  6. Step 6: Final answer
    x = 1,437,777.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.