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Finding the Third Proportional to 296,447,702 and 643,927,804

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Solution

The third proportional to 296,447,702 and 643,927,804 is: 1,398,705,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,447,702 : 643,927,804 = 643,927,804 : x
  2. Step 2: Convert to fraction form
    296,447,702/643,927,804 = 643,927,804/x
  3. Step 3: Cross multiply
    296,447,702x = 643,927,804 × 643,927,804
  4. Step 4: Simplify right side
    296,447,702x = 414,643,016,764,262,400
  5. Step 5: Solve for x
    x = 414,643,016,764,262,400/296,447,702
  6. Step 6: Final answer
    x = 1,398,705,451.14

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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.