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Finding the Third Proportional to 489,748 and 742,029

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Solution

The third proportional to 489,748 and 742,029 is: 1,124,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,748 : 742,029 = 742,029 : x
  2. Step 2: Convert to fraction form
    489,748/742,029 = 742,029/x
  3. Step 3: Cross multiply
    489,748x = 742,029 × 742,029
  4. Step 4: Simplify right side
    489,748x = 550,607,036,841
  5. Step 5: Solve for x
    x = 550,607,036,841/489,748
  6. Step 6: Final answer
    x = 1,124,266.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.