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Finding the Third Proportional to 285,956,086 and 428,549,946

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Solution

The third proportional to 285,956,086 and 428,549,946 is: 642,249,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,956,086 : 428,549,946 = 428,549,946 : x
  2. Step 2: Convert to fraction form
    285,956,086/428,549,946 = 428,549,946/x
  3. Step 3: Cross multiply
    285,956,086x = 428,549,946 × 428,549,946
  4. Step 4: Simplify right side
    285,956,086x = 183,655,056,216,602,912
  5. Step 5: Solve for x
    x = 183,655,056,216,602,912/285,956,086
  6. Step 6: Final answer
    x = 642,249,160.65

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Why These Related Problems?

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