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Finding the Third Proportional to 152,767,895 and 312,595,431

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Solution

The third proportional to 152,767,895 and 312,595,431 is: 639,636,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,767,895 : 312,595,431 = 312,595,431 : x
  2. Step 2: Convert to fraction form
    152,767,895/312,595,431 = 312,595,431/x
  3. Step 3: Cross multiply
    152,767,895x = 312,595,431 × 312,595,431
  4. Step 4: Simplify right side
    152,767,895x = 97,715,903,482,075,760
  5. Step 5: Solve for x
    x = 97,715,903,482,075,760/152,767,895
  6. Step 6: Final answer
    x = 639,636,380.94

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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.