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Finding the Third Proportional to 77,140,443 and 164,742,720

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Solution

The third proportional to 77,140,443 and 164,742,720 is: 351,827,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,443 : 164,742,720 = 164,742,720 : x
  2. Step 2: Convert to fraction form
    77,140,443/164,742,720 = 164,742,720/x
  3. Step 3: Cross multiply
    77,140,443x = 164,742,720 × 164,742,720
  4. Step 4: Simplify right side
    77,140,443x = 27,140,163,792,998,400
  5. Step 5: Solve for x
    x = 27,140,163,792,998,400/77,140,443
  6. Step 6: Final answer
    x = 351,827,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.