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Finding the Third Proportional to 448,085 and 709,865

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Solution

The third proportional to 448,085 and 709,865 is: 1,124,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,085 : 709,865 = 709,865 : x
  2. Step 2: Convert to fraction form
    448,085/709,865 = 709,865/x
  3. Step 3: Cross multiply
    448,085x = 709,865 × 709,865
  4. Step 4: Simplify right side
    448,085x = 503,908,318,225
  5. Step 5: Solve for x
    x = 503,908,318,225/448,085
  6. Step 6: Final answer
    x = 1,124,581.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.