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Finding the Third Proportional to 429,312 and 679,641

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Solution

The third proportional to 429,312 and 679,641 is: 1,075,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,312 : 679,641 = 679,641 : x
  2. Step 2: Convert to fraction form
    429,312/679,641 = 679,641/x
  3. Step 3: Cross multiply
    429,312x = 679,641 × 679,641
  4. Step 4: Simplify right side
    429,312x = 461,911,888,881
  5. Step 5: Solve for x
    x = 461,911,888,881/429,312
  6. Step 6: Final answer
    x = 1,075,935.19

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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.