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Finding the Third Proportional to 92,876,546 and 216,882,365

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Solution

The third proportional to 92,876,546 and 216,882,365 is: 506,456,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,876,546 : 216,882,365 = 216,882,365 : x
  2. Step 2: Convert to fraction form
    92,876,546/216,882,365 = 216,882,365/x
  3. Step 3: Cross multiply
    92,876,546x = 216,882,365 × 216,882,365
  4. Step 4: Simplify right side
    92,876,546x = 47,037,960,247,993,224
  5. Step 5: Solve for x
    x = 47,037,960,247,993,224/92,876,546
  6. Step 6: Final answer
    x = 506,456,821.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.