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Finding the Third Proportional to 355,392 and 750,688

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Solution

The third proportional to 355,392 and 750,688 is: 1,585,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,392 : 750,688 = 750,688 : x
  2. Step 2: Convert to fraction form
    355,392/750,688 = 750,688/x
  3. Step 3: Cross multiply
    355,392x = 750,688 × 750,688
  4. Step 4: Simplify right side
    355,392x = 563,532,473,344
  5. Step 5: Solve for x
    x = 563,532,473,344/355,392
  6. Step 6: Final answer
    x = 1,585,664.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.