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Finding the Third Proportional to 328,364 and 712,776

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Solution

The third proportional to 328,364 and 712,776 is: 1,547,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,364 : 712,776 = 712,776 : x
  2. Step 2: Convert to fraction form
    328,364/712,776 = 712,776/x
  3. Step 3: Cross multiply
    328,364x = 712,776 × 712,776
  4. Step 4: Simplify right side
    328,364x = 508,049,626,176
  5. Step 5: Solve for x
    x = 508,049,626,176/328,364
  6. Step 6: Final answer
    x = 1,547,214.76

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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.