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Finding the Third Proportional to 165,535,992 and 390,214,386

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Solution

The third proportional to 165,535,992 and 390,214,386 is: 919,843,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,535,992 : 390,214,386 = 390,214,386 : x
  2. Step 2: Convert to fraction form
    165,535,992/390,214,386 = 390,214,386/x
  3. Step 3: Cross multiply
    165,535,992x = 390,214,386 × 390,214,386
  4. Step 4: Simplify right side
    165,535,992x = 152,267,267,041,356,992
  5. Step 5: Solve for x
    x = 152,267,267,041,356,992/165,535,992
  6. Step 6: Final answer
    x = 919,843,867.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.