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Finding the Third Proportional to 388,416 and 590,730

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Solution

The third proportional to 388,416 and 590,730 is: 898,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,416 : 590,730 = 590,730 : x
  2. Step 2: Convert to fraction form
    388,416/590,730 = 590,730/x
  3. Step 3: Cross multiply
    388,416x = 590,730 × 590,730
  4. Step 4: Simplify right side
    388,416x = 348,961,932,900
  5. Step 5: Solve for x
    x = 348,961,932,900/388,416
  6. Step 6: Final answer
    x = 898,423.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.