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Finding the Third Proportional to 320,420,178 and 657,826,782

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Solution

The third proportional to 320,420,178 and 657,826,782 is: 1,350,526,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420,178 : 657,826,782 = 657,826,782 : x
  2. Step 2: Convert to fraction form
    320,420,178/657,826,782 = 657,826,782/x
  3. Step 3: Cross multiply
    320,420,178x = 657,826,782 × 657,826,782
  4. Step 4: Simplify right side
    320,420,178x = 432,736,075,116,475,520
  5. Step 5: Solve for x
    x = 432,736,075,116,475,520/320,420,178
  6. Step 6: Final answer
    x = 1,350,526,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.