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Finding the Third Proportional to 257,300,566.50 and 397,572,035.25

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Solution

The third proportional to 257,300,566.50 and 397,572,035.25 is: 614,314,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300,566.50 : 397,572,035.25 = 397,572,035.25 : x
  2. Step 2: Convert to fraction form
    257,300,566.50/397,572,035.25 = 397,572,035.25/x
  3. Step 3: Cross multiply
    257,300,566.50x = 397,572,035.25 × 397,572,035.25
  4. Step 4: Simplify right side
    257,300,566.50x = 158,063,523,212,827,232
  5. Step 5: Solve for x
    x = 158,063,523,212,827,232/257,300,566.50
  6. Step 6: Final answer
    x = 614,314,711.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.