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Finding the Third Proportional to 637,700 and 976,636

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Solution

The third proportional to 637,700 and 976,636 is: 1,495,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,700 : 976,636 = 976,636 : x
  2. Step 2: Convert to fraction form
    637,700/976,636 = 976,636/x
  3. Step 3: Cross multiply
    637,700x = 976,636 × 976,636
  4. Step 4: Simplify right side
    637,700x = 953,817,876,496
  5. Step 5: Solve for x
    x = 953,817,876,496/637,700
  6. Step 6: Final answer
    x = 1,495,715.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.