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Finding the Third Proportional to 145,429,127 and 311,013,646

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Solution

The third proportional to 145,429,127 and 311,013,646 is: 665,131,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,127 : 311,013,646 = 311,013,646 : x
  2. Step 2: Convert to fraction form
    145,429,127/311,013,646 = 311,013,646/x
  3. Step 3: Cross multiply
    145,429,127x = 311,013,646 × 311,013,646
  4. Step 4: Simplify right side
    145,429,127x = 96,729,487,998,213,312
  5. Step 5: Solve for x
    x = 96,729,487,998,213,312/145,429,127
  6. Step 6: Final answer
    x = 665,131,462.96

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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.