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Finding the Third Proportional to 145,429,796 and 311,014,981

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Solution

The third proportional to 145,429,796 and 311,014,981 is: 665,134,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,796 : 311,014,981 = 311,014,981 : x
  2. Step 2: Convert to fraction form
    145,429,796/311,014,981 = 311,014,981/x
  3. Step 3: Cross multiply
    145,429,796x = 311,014,981 × 311,014,981
  4. Step 4: Simplify right side
    145,429,796x = 96,730,318,406,430,368
  5. Step 5: Solve for x
    x = 96,730,318,406,430,368/145,429,796
  6. Step 6: Final answer
    x = 665,134,113.28

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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.