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Finding the Third Proportional to 243,802,140 and 520,668,804

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Solution

The third proportional to 243,802,140 and 520,668,804 is: 1,111,950,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802,140 : 520,668,804 = 520,668,804 : x
  2. Step 2: Convert to fraction form
    243,802,140/520,668,804 = 520,668,804/x
  3. Step 3: Cross multiply
    243,802,140x = 520,668,804 × 520,668,804
  4. Step 4: Simplify right side
    243,802,140x = 271,096,003,458,790,400
  5. Step 5: Solve for x
    x = 271,096,003,458,790,400/243,802,140
  6. Step 6: Final answer
    x = 1,111,950,877.29

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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.