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Finding the Third Proportional to 145,429,158 and 311,013,706

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Solution

The third proportional to 145,429,158 and 311,013,706 is: 665,131,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,158 : 311,013,706 = 311,013,706 : x
  2. Step 2: Convert to fraction form
    145,429,158/311,013,706 = 311,013,706/x
  3. Step 3: Cross multiply
    145,429,158x = 311,013,706 × 311,013,706
  4. Step 4: Simplify right side
    145,429,158x = 96,729,525,319,854,432
  5. Step 5: Solve for x
    x = 96,729,525,319,854,432/145,429,158
  6. Step 6: Final answer
    x = 665,131,577.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.