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Finding the Third Proportional to 286,547 and 624,448

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Solution

The third proportional to 286,547 and 624,448 is: 1,360,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,547 : 624,448 = 624,448 : x
  2. Step 2: Convert to fraction form
    286,547/624,448 = 624,448/x
  3. Step 3: Cross multiply
    286,547x = 624,448 × 624,448
  4. Step 4: Simplify right side
    286,547x = 389,935,304,704
  5. Step 5: Solve for x
    x = 389,935,304,704/286,547
  6. Step 6: Final answer
    x = 1,360,807.49

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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.