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Finding the Third Proportional to 389,613 and 598,461

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Solution

The third proportional to 389,613 and 598,461 is: 919,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,613 : 598,461 = 598,461 : x
  2. Step 2: Convert to fraction form
    389,613/598,461 = 598,461/x
  3. Step 3: Cross multiply
    389,613x = 598,461 × 598,461
  4. Step 4: Simplify right side
    389,613x = 358,155,568,521
  5. Step 5: Solve for x
    x = 358,155,568,521/389,613
  6. Step 6: Final answer
    x = 919,259.80

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