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Finding the Third Proportional to 357,411 and 714,786

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Solution

The third proportional to 357,411 and 714,786 is: 1,429,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,411 : 714,786 = 714,786 : x
  2. Step 2: Convert to fraction form
    357,411/714,786 = 714,786/x
  3. Step 3: Cross multiply
    357,411x = 714,786 × 714,786
  4. Step 4: Simplify right side
    357,411x = 510,919,025,796
  5. Step 5: Solve for x
    x = 510,919,025,796/357,411
  6. Step 6: Final answer
    x = 1,429,500.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.