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Finding the Third Proportional to 486,684 and 750,438

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Solution

The third proportional to 486,684 and 750,438 is: 1,157,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,684 : 750,438 = 750,438 : x
  2. Step 2: Convert to fraction form
    486,684/750,438 = 750,438/x
  3. Step 3: Cross multiply
    486,684x = 750,438 × 750,438
  4. Step 4: Simplify right side
    486,684x = 563,157,191,844
  5. Step 5: Solve for x
    x = 563,157,191,844/486,684
  6. Step 6: Final answer
    x = 1,157,131.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.