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Finding the Third Proportional to 133,082,457 and 291,210,438

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Solution

The third proportional to 133,082,457 and 291,210,438 is: 637,225,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082,457 : 291,210,438 = 291,210,438 : x
  2. Step 2: Convert to fraction form
    133,082,457/291,210,438 = 291,210,438/x
  3. Step 3: Cross multiply
    133,082,457x = 291,210,438 × 291,210,438
  4. Step 4: Simplify right side
    133,082,457x = 84,803,519,200,151,840
  5. Step 5: Solve for x
    x = 84,803,519,200,151,840/133,082,457
  6. Step 6: Final answer
    x = 637,225,379.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.