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Finding the Third Proportional to 508,655 and 786,363

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Solution

The third proportional to 508,655 and 786,363 is: 1,215,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,655 : 786,363 = 786,363 : x
  2. Step 2: Convert to fraction form
    508,655/786,363 = 786,363/x
  3. Step 3: Cross multiply
    508,655x = 786,363 × 786,363
  4. Step 4: Simplify right side
    508,655x = 618,366,767,769
  5. Step 5: Solve for x
    x = 618,366,767,769/508,655
  6. Step 6: Final answer
    x = 1,215,689.94

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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.