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Finding the Third Proportional to 102,197,050,512 and 223,659,742,800

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Solution

The third proportional to 102,197,050,512 and 223,659,742,800 is: 489,482,624,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,050,512 : 223,659,742,800 = 223,659,742,800 : x
  2. Step 2: Convert to fraction form
    102,197,050,512/223,659,742,800 = 223,659,742,800/x
  3. Step 3: Cross multiply
    102,197,050,512x = 223,659,742,800 × 223,659,742,800
  4. Step 4: Simplify right side
    102,197,050,512x = 50,023,680,549,362,153,291,776
  5. Step 5: Solve for x
    x = 50,023,680,549,362,153,291,776/102,197,050,512
  6. Step 6: Final answer
    x = 489,482,624,975.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.