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Finding the Third Proportional to 287,429,391 and 430,665,912

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Solution

The third proportional to 287,429,391 and 430,665,912 is: 645,282,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,429,391 : 430,665,912 = 430,665,912 : x
  2. Step 2: Convert to fraction form
    287,429,391/430,665,912 = 430,665,912/x
  3. Step 3: Cross multiply
    287,429,391x = 430,665,912 × 430,665,912
  4. Step 4: Simplify right side
    287,429,391x = 185,473,127,758,791,744
  5. Step 5: Solve for x
    x = 185,473,127,758,791,744/287,429,391
  6. Step 6: Final answer
    x = 645,282,401.75

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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.