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Finding the Third Proportional to 257,985,244 and 561,318,440

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Solution

The third proportional to 257,985,244 and 561,318,440 is: 1,221,303,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,985,244 : 561,318,440 = 561,318,440 : x
  2. Step 2: Convert to fraction form
    257,985,244/561,318,440 = 561,318,440/x
  3. Step 3: Cross multiply
    257,985,244x = 561,318,440 × 561,318,440
  4. Step 4: Simplify right side
    257,985,244x = 315,078,391,084,033,600
  5. Step 5: Solve for x
    x = 315,078,391,084,033,600/257,985,244
  6. Step 6: Final answer
    x = 1,221,303,924.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.