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Finding the Third Proportional to 390,553 and 589,998

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Solution

The third proportional to 390,553 and 589,998 is: 891,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,553 : 589,998 = 589,998 : x
  2. Step 2: Convert to fraction form
    390,553/589,998 = 589,998/x
  3. Step 3: Cross multiply
    390,553x = 589,998 × 589,998
  4. Step 4: Simplify right side
    390,553x = 348,097,640,004
  5. Step 5: Solve for x
    x = 348,097,640,004/390,553
  6. Step 6: Final answer
    x = 891,294.24

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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.