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Finding the Third Proportional to 319,570 and 460,346

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Solution

The third proportional to 319,570 and 460,346 is: 663,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,570 : 460,346 = 460,346 : x
  2. Step 2: Convert to fraction form
    319,570/460,346 = 460,346/x
  3. Step 3: Cross multiply
    319,570x = 460,346 × 460,346
  4. Step 4: Simplify right side
    319,570x = 211,918,439,716
  5. Step 5: Solve for x
    x = 211,918,439,716/319,570
  6. Step 6: Final answer
    x = 663,136.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.