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Finding the Third Proportional to 99,778,605 and 213,346,518

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Solution

The third proportional to 99,778,605 and 213,346,518 is: 456,177,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778,605 : 213,346,518 = 213,346,518 : x
  2. Step 2: Convert to fraction form
    99,778,605/213,346,518 = 213,346,518/x
  3. Step 3: Cross multiply
    99,778,605x = 213,346,518 × 213,346,518
  4. Step 4: Simplify right side
    99,778,605x = 45,516,736,742,724,320
  5. Step 5: Solve for x
    x = 45,516,736,742,724,320/99,778,605
  6. Step 6: Final answer
    x = 456,177,321.21

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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.