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Finding the Third Proportional to 384,428 and 573,459

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Solution

The third proportional to 384,428 and 573,459 is: 855,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,428 : 573,459 = 573,459 : x
  2. Step 2: Convert to fraction form
    384,428/573,459 = 573,459/x
  3. Step 3: Cross multiply
    384,428x = 573,459 × 573,459
  4. Step 4: Simplify right side
    384,428x = 328,855,224,681
  5. Step 5: Solve for x
    x = 328,855,224,681/384,428
  6. Step 6: Final answer
    x = 855,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.