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Finding the Third Proportional to 356,724 and 742,959

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Solution

The third proportional to 356,724 and 742,959 is: 1,547,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724 : 742,959 = 742,959 : x
  2. Step 2: Convert to fraction form
    356,724/742,959 = 742,959/x
  3. Step 3: Cross multiply
    356,724x = 742,959 × 742,959
  4. Step 4: Simplify right side
    356,724x = 551,988,075,681
  5. Step 5: Solve for x
    x = 551,988,075,681/356,724
  6. Step 6: Final answer
    x = 1,547,381.38

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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.