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Finding the Third Proportional to 487,820 and 750,738

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Solution

The third proportional to 487,820 and 750,738 is: 1,155,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,820 : 750,738 = 750,738 : x
  2. Step 2: Convert to fraction form
    487,820/750,738 = 750,738/x
  3. Step 3: Cross multiply
    487,820x = 750,738 × 750,738
  4. Step 4: Simplify right side
    487,820x = 563,607,544,644
  5. Step 5: Solve for x
    x = 563,607,544,644/487,820
  6. Step 6: Final answer
    x = 1,155,359.65

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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.