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Finding the Third Proportional to 145,355,940 and 218,140,219.50

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Solution

The third proportional to 145,355,940 and 218,140,219.50 is: 327,369,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,940 : 218,140,219.50 = 218,140,219.50 : x
  2. Step 2: Convert to fraction form
    145,355,940/218,140,219.50 = 218,140,219.50/x
  3. Step 3: Cross multiply
    145,355,940x = 218,140,219.50 × 218,140,219.50
  4. Step 4: Simplify right side
    145,355,940x = 47,585,155,363,508,184
  5. Step 5: Solve for x
    x = 47,585,155,363,508,184/145,355,940
  6. Step 6: Final answer
    x = 327,369,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.