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Finding the Third Proportional to 307,931,971.50 and 637,691,154.75

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Solution

The third proportional to 307,931,971.50 and 637,691,154.75 is: 1,320,583,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,931,971.50 : 637,691,154.75 = 637,691,154.75 : x
  2. Step 2: Convert to fraction form
    307,931,971.50/637,691,154.75 = 637,691,154.75/x
  3. Step 3: Cross multiply
    307,931,971.50x = 637,691,154.75 × 637,691,154.75
  4. Step 4: Simplify right side
    307,931,971.50x = 406,650,008,846,388,416
  5. Step 5: Solve for x
    x = 406,650,008,846,388,416/307,931,971.50
  6. Step 6: Final answer
    x = 1,320,583,916.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.