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Finding the Third Proportional to 688,381 and 1,012,312

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Solution

The third proportional to 688,381 and 1,012,312 is: 1,488,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,381 : 1,012,312 = 1,012,312 : x
  2. Step 2: Convert to fraction form
    688,381/1,012,312 = 1,012,312/x
  3. Step 3: Cross multiply
    688,381x = 1,012,312 × 1,012,312
  4. Step 4: Simplify right side
    688,381x = 1,024,775,585,344
  5. Step 5: Solve for x
    x = 1,024,775,585,344/688,381
  6. Step 6: Final answer
    x = 1,488,675.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.