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Finding the Third Proportional to 296,452,829 and 643,938,344

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Solution

The third proportional to 296,452,829 and 643,938,344 is: 1,398,727,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,452,829 : 643,938,344 = 643,938,344 : x
  2. Step 2: Convert to fraction form
    296,452,829/643,938,344 = 643,938,344/x
  3. Step 3: Cross multiply
    296,452,829x = 643,938,344 × 643,938,344
  4. Step 4: Simplify right side
    296,452,829x = 414,656,590,873,462,336
  5. Step 5: Solve for x
    x = 414,656,590,873,462,336/296,452,829
  6. Step 6: Final answer
    x = 1,398,727,049.67

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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.