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Finding the Third Proportional to 296,066,639 and 641,557,291

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Solution

The third proportional to 296,066,639 and 641,557,291 is: 1,390,213,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,066,639 : 641,557,291 = 641,557,291 : x
  2. Step 2: Convert to fraction form
    296,066,639/641,557,291 = 641,557,291/x
  3. Step 3: Cross multiply
    296,066,639x = 641,557,291 × 641,557,291
  4. Step 4: Simplify right side
    296,066,639x = 411,595,757,635,258,688
  5. Step 5: Solve for x
    x = 411,595,757,635,258,688/296,066,639
  6. Step 6: Final answer
    x = 1,390,213,227.08

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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.