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Finding the Third Proportional to 497,328 and 750,128

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Solution

The third proportional to 497,328 and 750,128 is: 1,131,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,328 : 750,128 = 750,128 : x
  2. Step 2: Convert to fraction form
    497,328/750,128 = 750,128/x
  3. Step 3: Cross multiply
    497,328x = 750,128 × 750,128
  4. Step 4: Simplify right side
    497,328x = 562,692,016,384
  5. Step 5: Solve for x
    x = 562,692,016,384/497,328
  6. Step 6: Final answer
    x = 1,131,430.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.