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Finding the Third Proportional to 375,356 and 781,776

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Solution

The third proportional to 375,356 and 781,776 is: 1,628,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,356 : 781,776 = 781,776 : x
  2. Step 2: Convert to fraction form
    375,356/781,776 = 781,776/x
  3. Step 3: Cross multiply
    375,356x = 781,776 × 781,776
  4. Step 4: Simplify right side
    375,356x = 611,173,714,176
  5. Step 5: Solve for x
    x = 611,173,714,176/375,356
  6. Step 6: Final answer
    x = 1,628,250.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.