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Finding the Third Proportional to 711,000 and 999,972

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Solution

The third proportional to 711,000 and 999,972 is: 1,406,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,000 : 999,972 = 999,972 : x
  2. Step 2: Convert to fraction form
    711,000/999,972 = 999,972/x
  3. Step 3: Cross multiply
    711,000x = 999,972 × 999,972
  4. Step 4: Simplify right side
    711,000x = 999,944,000,784
  5. Step 5: Solve for x
    x = 999,944,000,784/711,000
  6. Step 6: Final answer
    x = 1,406,391.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.