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Finding the Third Proportional to 78,309,490 and 171,677,859

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Solution

The third proportional to 78,309,490 and 171,677,859 is: 376,369,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309,490 : 171,677,859 = 171,677,859 : x
  2. Step 2: Convert to fraction form
    78,309,490/171,677,859 = 171,677,859/x
  3. Step 3: Cross multiply
    78,309,490x = 171,677,859 × 171,677,859
  4. Step 4: Simplify right side
    78,309,490x = 29,473,287,270,823,880
  5. Step 5: Solve for x
    x = 29,473,287,270,823,880/78,309,490
  6. Step 6: Final answer
    x = 376,369,291.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.