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Finding the Third Proportional to 285,956,082 and 428,549,940

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Solution

The third proportional to 285,956,082 and 428,549,940 is: 642,249,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,956,082 : 428,549,940 = 428,549,940 : x
  2. Step 2: Convert to fraction form
    285,956,082/428,549,940 = 428,549,940/x
  3. Step 3: Cross multiply
    285,956,082x = 428,549,940 × 428,549,940
  4. Step 4: Simplify right side
    285,956,082x = 183,655,051,074,003,584
  5. Step 5: Solve for x
    x = 183,655,051,074,003,584/285,956,082
  6. Step 6: Final answer
    x = 642,249,151.65

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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.