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Finding the Third Proportional to 775,225,496 and 1,191,577,646.50

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Solution

The third proportional to 775,225,496 and 1,191,577,646.50 is: 1,831,541,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,225,496 : 1,191,577,646.50 = 1,191,577,646.50 : x
  2. Step 2: Convert to fraction form
    775,225,496/1,191,577,646.50 = 1,191,577,646.50/x
  3. Step 3: Cross multiply
    775,225,496x = 1,191,577,646.50 × 1,191,577,646.50
  4. Step 4: Simplify right side
    775,225,496x = 1,419,857,287,638,478,848
  5. Step 5: Solve for x
    x = 1,419,857,287,638,478,848/775,225,496
  6. Step 6: Final answer
    x = 1,831,541,009.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.