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Finding the Third Proportional to 403,720 and 849,260

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Solution

The third proportional to 403,720 and 849,260 is: 1,786,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,720 : 849,260 = 849,260 : x
  2. Step 2: Convert to fraction form
    403,720/849,260 = 849,260/x
  3. Step 3: Cross multiply
    403,720x = 849,260 × 849,260
  4. Step 4: Simplify right side
    403,720x = 721,242,547,600
  5. Step 5: Solve for x
    x = 721,242,547,600/403,720
  6. Step 6: Final answer
    x = 1,786,491.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.