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Finding the Third Proportional to 198,255,889.50 and 429,461,668.50

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Solution

The third proportional to 198,255,889.50 and 429,461,668.50 is: 930,299,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,255,889.50 : 429,461,668.50 = 429,461,668.50 : x
  2. Step 2: Convert to fraction form
    198,255,889.50/429,461,668.50 = 429,461,668.50/x
  3. Step 3: Cross multiply
    198,255,889.50x = 429,461,668.50 × 429,461,668.50
  4. Step 4: Simplify right side
    198,255,889.50x = 184,437,324,710,803,904
  5. Step 5: Solve for x
    x = 184,437,324,710,803,904/198,255,889.50
  6. Step 6: Final answer
    x = 930,299,347.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.