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Finding the Third Proportional to 451,129,666.50 and 717,835,968.75

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Solution

The third proportional to 451,129,666.50 and 717,835,968.75 is: 1,142,218,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,129,666.50 : 717,835,968.75 = 717,835,968.75 : x
  2. Step 2: Convert to fraction form
    451,129,666.50/717,835,968.75 = 717,835,968.75/x
  3. Step 3: Cross multiply
    451,129,666.50x = 717,835,968.75 × 717,835,968.75
  4. Step 4: Simplify right side
    451,129,666.50x = 515,288,478,031,251,008
  5. Step 5: Solve for x
    x = 515,288,478,031,251,008/451,129,666.50
  6. Step 6: Final answer
    x = 1,142,218,116.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.