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Finding the Third Proportional to 423,451,719 and 917,252,941.50

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Solution

The third proportional to 423,451,719 and 917,252,941.50 is: 1,986,892,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,451,719 : 917,252,941.50 = 917,252,941.50 : x
  2. Step 2: Convert to fraction form
    423,451,719/917,252,941.50 = 917,252,941.50/x
  3. Step 3: Cross multiply
    423,451,719x = 917,252,941.50 × 917,252,941.50
  4. Step 4: Simplify right side
    423,451,719x = 841,352,958,690,402,432
  5. Step 5: Solve for x
    x = 841,352,958,690,402,432/423,451,719
  6. Step 6: Final answer
    x = 1,986,892,297.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.