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Finding the Third Proportional to 292,213,780 and 438,705,030

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Solution

The third proportional to 292,213,780 and 438,705,030 is: 658,634,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213,780 : 438,705,030 = 438,705,030 : x
  2. Step 2: Convert to fraction form
    292,213,780/438,705,030 = 438,705,030/x
  3. Step 3: Cross multiply
    292,213,780x = 438,705,030 × 438,705,030
  4. Step 4: Simplify right side
    292,213,780x = 192,462,103,347,300,896
  5. Step 5: Solve for x
    x = 192,462,103,347,300,896/292,213,780
  6. Step 6: Final answer
    x = 658,634,590.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.