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Finding the Third Proportional to 215,216,890 and 301,991,946

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Solution

The third proportional to 215,216,890 and 301,991,946 is: 423,754,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216,890 : 301,991,946 = 301,991,946 : x
  2. Step 2: Convert to fraction form
    215,216,890/301,991,946 = 301,991,946/x
  3. Step 3: Cross multiply
    215,216,890x = 301,991,946 × 301,991,946
  4. Step 4: Simplify right side
    215,216,890x = 91,199,135,448,866,912
  5. Step 5: Solve for x
    x = 91,199,135,448,866,912/215,216,890
  6. Step 6: Final answer
    x = 423,754,545.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.