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Finding the Third Proportional to 288,280,160 and 430,531,163

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Solution

The third proportional to 288,280,160 and 430,531,163 is: 642,975,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,280,160 : 430,531,163 = 430,531,163 : x
  2. Step 2: Convert to fraction form
    288,280,160/430,531,163 = 430,531,163/x
  3. Step 3: Cross multiply
    288,280,160x = 430,531,163 × 430,531,163
  4. Step 4: Simplify right side
    288,280,160x = 185,357,082,314,132,576
  5. Step 5: Solve for x
    x = 185,357,082,314,132,576/288,280,160
  6. Step 6: Final answer
    x = 642,975,507.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.