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Finding the Third Proportional to 272,657,415 and 431,812,642.50

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Solution

The third proportional to 272,657,415 and 431,812,642.50 is: 683,869,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,657,415 : 431,812,642.50 = 431,812,642.50 : x
  2. Step 2: Convert to fraction form
    272,657,415/431,812,642.50 = 431,812,642.50/x
  3. Step 3: Cross multiply
    272,657,415x = 431,812,642.50 × 431,812,642.50
  4. Step 4: Simplify right side
    272,657,415x = 186,462,158,222,832,800
  5. Step 5: Solve for x
    x = 186,462,158,222,832,800/272,657,415
  6. Step 6: Final answer
    x = 683,869,749.97

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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.