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Finding the Third Proportional to 78,047,569 and 173,545,341

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Solution

The third proportional to 78,047,569 and 173,545,341 is: 385,892,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047,569 : 173,545,341 = 173,545,341 : x
  2. Step 2: Convert to fraction form
    78,047,569/173,545,341 = 173,545,341/x
  3. Step 3: Cross multiply
    78,047,569x = 173,545,341 × 173,545,341
  4. Step 4: Simplify right side
    78,047,569x = 30,117,985,382,806,280
  5. Step 5: Solve for x
    x = 30,117,985,382,806,280/78,047,569
  6. Step 6: Final answer
    x = 385,892,677.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.