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Finding the Third Proportional to 403,730 and 849,280

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Solution

The third proportional to 403,730 and 849,280 is: 1,786,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,730 : 849,280 = 849,280 : x
  2. Step 2: Convert to fraction form
    403,730/849,280 = 849,280/x
  3. Step 3: Cross multiply
    403,730x = 849,280 × 849,280
  4. Step 4: Simplify right side
    403,730x = 721,276,518,400
  5. Step 5: Solve for x
    x = 721,276,518,400/403,730
  6. Step 6: Final answer
    x = 1,786,531.89

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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.