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Finding the Third Proportional to 178,434,720.75 and 272,780,714.25

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Solution

The third proportional to 178,434,720.75 and 272,780,714.25 is: 417,011,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434,720.75 : 272,780,714.25 = 272,780,714.25 : x
  2. Step 2: Convert to fraction form
    178,434,720.75/272,780,714.25 = 272,780,714.25/x
  3. Step 3: Cross multiply
    178,434,720.75x = 272,780,714.25 × 272,780,714.25
  4. Step 4: Simplify right side
    178,434,720.75x = 74,409,318,066,740,160
  5. Step 5: Solve for x
    x = 74,409,318,066,740,160/178,434,720.75
  6. Step 6: Final answer
    x = 417,011,430.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.