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Finding the Third Proportional to 1,026,762,224 and 2,241,676,480

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Solution

The third proportional to 1,026,762,224 and 2,241,676,480 is: 4,894,135,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,762,224 : 2,241,676,480 = 2,241,676,480 : x
  2. Step 2: Convert to fraction form
    1,026,762,224/2,241,676,480 = 2,241,676,480/x
  3. Step 3: Cross multiply
    1,026,762,224x = 2,241,676,480 × 2,241,676,480
  4. Step 4: Simplify right side
    1,026,762,224x = 5,025,113,440,985,190,400
  5. Step 5: Solve for x
    x = 5,025,113,440,985,190,400/1,026,762,224
  6. Step 6: Final answer
    x = 4,894,135,490.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.