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Finding the Third Proportional to 489,010 and 748,046

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Solution

The third proportional to 489,010 and 748,046 is: 1,144,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,010 : 748,046 = 748,046 : x
  2. Step 2: Convert to fraction form
    489,010/748,046 = 748,046/x
  3. Step 3: Cross multiply
    489,010x = 748,046 × 748,046
  4. Step 4: Simplify right side
    489,010x = 559,572,818,116
  5. Step 5: Solve for x
    x = 559,572,818,116/489,010
  6. Step 6: Final answer
    x = 1,144,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.