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Finding the Third Proportional to 328,358 and 712,763

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Solution

The third proportional to 328,358 and 712,763 is: 1,547,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,358 : 712,763 = 712,763 : x
  2. Step 2: Convert to fraction form
    328,358/712,763 = 712,763/x
  3. Step 3: Cross multiply
    328,358x = 712,763 × 712,763
  4. Step 4: Simplify right side
    328,358x = 508,031,094,169
  5. Step 5: Solve for x
    x = 508,031,094,169/328,358
  6. Step 6: Final answer
    x = 1,547,186.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.