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Finding the Third Proportional to 348,490 and 512,528

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Solution

The third proportional to 348,490 and 512,528 is: 753,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,490 : 512,528 = 512,528 : x
  2. Step 2: Convert to fraction form
    348,490/512,528 = 512,528/x
  3. Step 3: Cross multiply
    348,490x = 512,528 × 512,528
  4. Step 4: Simplify right side
    348,490x = 262,684,950,784
  5. Step 5: Solve for x
    x = 262,684,950,784/348,490
  6. Step 6: Final answer
    x = 753,780.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.