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Finding the Third Proportional to 430,636 and 616,430

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Solution

The third proportional to 430,636 and 616,430 is: 882,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,636 : 616,430 = 616,430 : x
  2. Step 2: Convert to fraction form
    430,636/616,430 = 616,430/x
  3. Step 3: Cross multiply
    430,636x = 616,430 × 616,430
  4. Step 4: Simplify right side
    430,636x = 379,985,944,900
  5. Step 5: Solve for x
    x = 379,985,944,900/430,636
  6. Step 6: Final answer
    x = 882,383.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.