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Finding the Third Proportional to 280,397 and 611,547

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Solution

The third proportional to 280,397 and 611,547 is: 1,333,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,397 : 611,547 = 611,547 : x
  2. Step 2: Convert to fraction form
    280,397/611,547 = 611,547/x
  3. Step 3: Cross multiply
    280,397x = 611,547 × 611,547
  4. Step 4: Simplify right side
    280,397x = 373,989,733,209
  5. Step 5: Solve for x
    x = 373,989,733,209/280,397
  6. Step 6: Final answer
    x = 1,333,786.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.