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Finding the Third Proportional to 382,434,254 and 845,257,242

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Solution

The third proportional to 382,434,254 and 845,257,242 is: 1,868,189,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,434,254 : 845,257,242 = 845,257,242 : x
  2. Step 2: Convert to fraction form
    382,434,254/845,257,242 = 845,257,242/x
  3. Step 3: Cross multiply
    382,434,254x = 845,257,242 × 845,257,242
  4. Step 4: Simplify right side
    382,434,254x = 714,459,805,153,446,528
  5. Step 5: Solve for x
    x = 714,459,805,153,446,528/382,434,254
  6. Step 6: Final answer
    x = 1,868,189,885.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.