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Finding the Third Proportional to 307,971,574 and 641,417,810

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Solution

The third proportional to 307,971,574 and 641,417,810 is: 1,335,892,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971,574 : 641,417,810 = 641,417,810 : x
  2. Step 2: Convert to fraction form
    307,971,574/641,417,810 = 641,417,810/x
  3. Step 3: Cross multiply
    307,971,574x = 641,417,810 × 641,417,810
  4. Step 4: Simplify right side
    307,971,574x = 411,416,806,985,196,096
  5. Step 5: Solve for x
    x = 411,416,806,985,196,096/307,971,574
  6. Step 6: Final answer
    x = 1,335,892,146.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.