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Finding the Third Proportional to 288,280,164 and 430,531,169

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Solution

The third proportional to 288,280,164 and 430,531,169 is: 642,975,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,280,164 : 430,531,169 = 430,531,169 : x
  2. Step 2: Convert to fraction form
    288,280,164/430,531,169 = 430,531,169/x
  3. Step 3: Cross multiply
    288,280,164x = 430,531,169 × 430,531,169
  4. Step 4: Simplify right side
    288,280,164x = 185,357,087,480,506,560
  5. Step 5: Solve for x
    x = 185,357,087,480,506,560/288,280,164
  6. Step 6: Final answer
    x = 642,975,516.97

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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.