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Finding the Third Proportional to 145,429,148 and 311,013,686

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Solution

The third proportional to 145,429,148 and 311,013,686 is: 665,131,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,148 : 311,013,686 = 311,013,686 : x
  2. Step 2: Convert to fraction form
    145,429,148/311,013,686 = 311,013,686/x
  3. Step 3: Cross multiply
    145,429,148x = 311,013,686 × 311,013,686
  4. Step 4: Simplify right side
    145,429,148x = 96,729,512,879,306,592
  5. Step 5: Solve for x
    x = 96,729,512,879,306,592/145,429,148
  6. Step 6: Final answer
    x = 665,131,538.00

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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.