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Finding the Third Proportional to 571,700 and 840,423

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Solution

The third proportional to 571,700 and 840,423 is: 1,235,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,700 : 840,423 = 840,423 : x
  2. Step 2: Convert to fraction form
    571,700/840,423 = 840,423/x
  3. Step 3: Cross multiply
    571,700x = 840,423 × 840,423
  4. Step 4: Simplify right side
    571,700x = 706,310,818,929
  5. Step 5: Solve for x
    x = 706,310,818,929/571,700
  6. Step 6: Final answer
    x = 1,235,457.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.