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Finding the Third Proportional to 690,843,306 and 987,914,052

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Solution

The third proportional to 690,843,306 and 987,914,052 is: 1,412,728,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,843,306 : 987,914,052 = 987,914,052 : x
  2. Step 2: Convert to fraction form
    690,843,306/987,914,052 = 987,914,052/x
  3. Step 3: Cross multiply
    690,843,306x = 987,914,052 × 987,914,052
  4. Step 4: Simplify right side
    690,843,306x = 975,974,174,139,058,688
  5. Step 5: Solve for x
    x = 975,974,174,139,058,688/690,843,306
  6. Step 6: Final answer
    x = 1,412,728,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.