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Finding the Third Proportional to 377,988 and 585,276

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Solution

The third proportional to 377,988 and 585,276 is: 906,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,988 : 585,276 = 585,276 : x
  2. Step 2: Convert to fraction form
    377,988/585,276 = 585,276/x
  3. Step 3: Cross multiply
    377,988x = 585,276 × 585,276
  4. Step 4: Simplify right side
    377,988x = 342,547,996,176
  5. Step 5: Solve for x
    x = 342,547,996,176/377,988
  6. Step 6: Final answer
    x = 906,240.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.