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Finding the Third Proportional to 315,772 and 602,440

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Solution

The third proportional to 315,772 and 602,440 is: 1,149,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,772 : 602,440 = 602,440 : x
  2. Step 2: Convert to fraction form
    315,772/602,440 = 602,440/x
  3. Step 3: Cross multiply
    315,772x = 602,440 × 602,440
  4. Step 4: Simplify right side
    315,772x = 362,933,953,600
  5. Step 5: Solve for x
    x = 362,933,953,600/315,772
  6. Step 6: Final answer
    x = 1,149,354.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.