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Finding the Third Proportional to 100,830,298.50 and 205,360,636.50

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Solution

The third proportional to 100,830,298.50 and 205,360,636.50 is: 418,257,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830,298.50 : 205,360,636.50 = 205,360,636.50 : x
  2. Step 2: Convert to fraction form
    100,830,298.50/205,360,636.50 = 205,360,636.50/x
  3. Step 3: Cross multiply
    100,830,298.50x = 205,360,636.50 × 205,360,636.50
  4. Step 4: Simplify right side
    100,830,298.50x = 42,172,991,023,685,136
  5. Step 5: Solve for x
    x = 42,172,991,023,685,136/100,830,298.50
  6. Step 6: Final answer
    x = 418,257,127.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.