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Finding the Third Proportional to 578,606,728 and 873,290,810

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Solution

The third proportional to 578,606,728 and 873,290,810 is: 1,318,057,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,606,728 : 873,290,810 = 873,290,810 : x
  2. Step 2: Convert to fraction form
    578,606,728/873,290,810 = 873,290,810/x
  3. Step 3: Cross multiply
    578,606,728x = 873,290,810 × 873,290,810
  4. Step 4: Simplify right side
    578,606,728x = 762,636,838,830,456,064
  5. Step 5: Solve for x
    x = 762,636,838,830,456,064/578,606,728
  6. Step 6: Final answer
    x = 1,318,057,329.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.