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Finding the Third Proportional to 426,481,493.25 and 655,241,678.63

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Solution

The third proportional to 426,481,493.25 and 655,241,678.63 is: 1,006,706,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,481,493.25 : 655,241,678.63 = 655,241,678.63 : x
  2. Step 2: Convert to fraction form
    426,481,493.25/655,241,678.63 = 655,241,678.63/x
  3. Step 3: Cross multiply
    426,481,493.25x = 655,241,678.63 × 655,241,678.63
  4. Step 4: Simplify right side
    426,481,493.25x = 429,341,657,407,307,776
  5. Step 5: Solve for x
    x = 429,341,657,407,307,776/426,481,493.25
  6. Step 6: Final answer
    x = 1,006,706,420.33

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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.