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Finding the Third Proportional to 257,018,658.75 and 391,554,247.50

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Solution

The third proportional to 257,018,658.75 and 391,554,247.50 is: 596,512,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,658.75 : 391,554,247.50 = 391,554,247.50 : x
  2. Step 2: Convert to fraction form
    257,018,658.75/391,554,247.50 = 391,554,247.50/x
  3. Step 3: Cross multiply
    257,018,658.75x = 391,554,247.50 × 391,554,247.50
  4. Step 4: Simplify right side
    257,018,658.75x = 153,314,728,735,291,264
  5. Step 5: Solve for x
    x = 153,314,728,735,291,264/257,018,658.75
  6. Step 6: Final answer
    x = 596,512,056.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.