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Finding the Third Proportional to 400,663,352 and 870,298,625

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Solution

The third proportional to 400,663,352 and 870,298,625 is: 1,890,414,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,663,352 : 870,298,625 = 870,298,625 : x
  2. Step 2: Convert to fraction form
    400,663,352/870,298,625 = 870,298,625/x
  3. Step 3: Cross multiply
    400,663,352x = 870,298,625 × 870,298,625
  4. Step 4: Simplify right side
    400,663,352x = 757,419,696,676,890,624
  5. Step 5: Solve for x
    x = 757,419,696,676,890,624/400,663,352
  6. Step 6: Final answer
    x = 1,890,414,216.56

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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.