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Finding the Third Proportional to 30,012,133.50 and 64,574,320

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Solution

The third proportional to 30,012,133.50 and 64,574,320 is: 138,938,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012,133.50 : 64,574,320 = 64,574,320 : x
  2. Step 2: Convert to fraction form
    30,012,133.50/64,574,320 = 64,574,320/x
  3. Step 3: Cross multiply
    30,012,133.50x = 64,574,320 × 64,574,320
  4. Step 4: Simplify right side
    30,012,133.50x = 4,169,842,803,462,400
  5. Step 5: Solve for x
    x = 4,169,842,803,462,400/30,012,133.50
  6. Step 6: Final answer
    x = 138,938,566.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.